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Finding the Fourth Proportional to 3,141.75, 4,712.72 and 833.25

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Solution

The fourth proportional to 3,141.75, 4,712.72 and 833.25 is: 1,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.75 : 4,712.72 = 833.25 : x
  2. Step 2: Convert to fraction form
    3,141.75/4,712.72 = 833.25/x
  3. Step 3: Cross multiply
    3,141.75x = 4,712.72 × 833.25
  4. Step 4: Simplify right side
    3,141.75x = 3,926,869.77
  5. Step 5: Solve for x
    x = 3,926,869.77/3,141.75
  6. Step 6: Final answer
    x = 1,249.90

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,142.75, 4,714.22 and 834.25
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.