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Finding the Fourth Proportional to 3,957.64, 5,928.90 and 2,398.12

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Solution

The fourth proportional to 3,957.64, 5,928.90 and 2,398.12 is: 3,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.64 : 5,928.90 = 2,398.12 : x
  2. Step 2: Convert to fraction form
    3,957.64/5,928.90 = 2,398.12/x
  3. Step 3: Cross multiply
    3,957.64x = 5,928.90 × 2,398.12
  4. Step 4: Simplify right side
    3,957.64x = 14,218,213.67
  5. Step 5: Solve for x
    x = 14,218,213.67/3,957.64
  6. Step 6: Final answer
    x = 3,592.60

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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.