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Finding the Fourth Proportional to 3,387.72, 5,057.16 and 2,892

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Solution

The fourth proportional to 3,387.72, 5,057.16 and 2,892 is: 4,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.72 : 5,057.16 = 2,892 : x
  2. Step 2: Convert to fraction form
    3,387.72/5,057.16 = 2,892/x
  3. Step 3: Cross multiply
    3,387.72x = 5,057.16 × 2,892
  4. Step 4: Simplify right side
    3,387.72x = 14,625,306.72
  5. Step 5: Solve for x
    x = 14,625,306.72/3,387.72
  6. Step 6: Final answer
    x = 4,317.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.