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Finding the Fourth Proportional to 3,136.69, 4,704.90 and 1,057.69

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Solution

The fourth proportional to 3,136.69, 4,704.90 and 1,057.69 is: 1,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.69 : 4,704.90 = 1,057.69 : x
  2. Step 2: Convert to fraction form
    3,136.69/4,704.90 = 1,057.69/x
  3. Step 3: Cross multiply
    3,136.69x = 4,704.90 × 1,057.69
  4. Step 4: Simplify right side
    3,136.69x = 4,976,325.68
  5. Step 5: Solve for x
    x = 4,976,325.68/3,136.69
  6. Step 6: Final answer
    x = 1,586.49

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,137.69, 4,706.40 and 1,058.69
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.