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Finding the Fourth Proportional to 10,439, 15,654.88 and 4,197.16

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Solution

The fourth proportional to 10,439, 15,654.88 and 4,197.16 is: 6,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439 : 15,654.88 = 4,197.16 : x
  2. Step 2: Convert to fraction form
    10,439/15,654.88 = 4,197.16/x
  3. Step 3: Cross multiply
    10,439x = 15,654.88 × 4,197.16
  4. Step 4: Simplify right side
    10,439x = 65,706,036.14
  5. Step 5: Solve for x
    x = 65,706,036.14/10,439
  6. Step 6: Final answer
    x = 6,294.28

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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.