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Finding the Fourth Proportional to 1,675, 2,311.80 and 1,136.41

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Solution

The fourth proportional to 1,675, 2,311.80 and 1,136.41 is: 1,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675 : 2,311.80 = 1,136.41 : x
  2. Step 2: Convert to fraction form
    1,675/2,311.80 = 1,136.41/x
  3. Step 3: Cross multiply
    1,675x = 2,311.80 × 1,136.41
  4. Step 4: Simplify right side
    1,675x = 2,627,152.64
  5. Step 5: Solve for x
    x = 2,627,152.64/1,675
  6. Step 6: Final answer
    x = 1,568.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.