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Finding the Fourth Proportional to 3,957.12, 5,929.08 and 2,785.02

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Solution

The fourth proportional to 3,957.12, 5,929.08 and 2,785.02 is: 4,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.12 : 5,929.08 = 2,785.02 : x
  2. Step 2: Convert to fraction form
    3,957.12/5,929.08 = 2,785.02/x
  3. Step 3: Cross multiply
    3,957.12x = 5,929.08 × 2,785.02
  4. Step 4: Simplify right side
    3,957.12x = 16,512,606.38
  5. Step 5: Solve for x
    x = 16,512,606.38/3,957.12
  6. Step 6: Final answer
    x = 4,172.88

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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.