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Finding the Fourth Proportional to 20,265.36, 30,397.68 and 6,414

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Solution

The fourth proportional to 20,265.36, 30,397.68 and 6,414 is: 9,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.36 : 30,397.68 = 6,414 : x
  2. Step 2: Convert to fraction form
    20,265.36/30,397.68 = 6,414/x
  3. Step 3: Cross multiply
    20,265.36x = 30,397.68 × 6,414
  4. Step 4: Simplify right side
    20,265.36x = 194,970,719.52
  5. Step 5: Solve for x
    x = 194,970,719.52/20,265.36
  6. Step 6: Final answer
    x = 9,620.89

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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.