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Finding the Fourth Proportional to 3,957.69, 5,929.96 and 2,785.24

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Solution

The fourth proportional to 3,957.69, 5,929.96 and 2,785.24 is: 4,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.69 : 5,929.96 = 2,785.24 : x
  2. Step 2: Convert to fraction form
    3,957.69/5,929.96 = 2,785.24/x
  3. Step 3: Cross multiply
    3,957.69x = 5,929.96 × 2,785.24
  4. Step 4: Simplify right side
    3,957.69x = 16,516,361.79
  5. Step 5: Solve for x
    x = 16,516,361.79/3,957.69
  6. Step 6: Final answer
    x = 4,173.23

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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.