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Finding the Fourth Proportional to 3,957.71, 5,934.12 and 1,615.80

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Solution

The fourth proportional to 3,957.71, 5,934.12 and 1,615.80 is: 2,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.71 : 5,934.12 = 1,615.80 : x
  2. Step 2: Convert to fraction form
    3,957.71/5,934.12 = 1,615.80/x
  3. Step 3: Cross multiply
    3,957.71x = 5,934.12 × 1,615.80
  4. Step 4: Simplify right side
    3,957.71x = 9,588,351.10
  5. Step 5: Solve for x
    x = 9,588,351.10/3,957.71
  6. Step 6: Final answer
    x = 2,422.70

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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.