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Finding the Fourth Proportional to 20,331, 30,465 and 14,103.12

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Solution

The fourth proportional to 20,331, 30,465 and 14,103.12 is: 21,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,331 : 30,465 = 14,103.12 : x
  2. Step 2: Convert to fraction form
    20,331/30,465 = 14,103.12/x
  3. Step 3: Cross multiply
    20,331x = 30,465 × 14,103.12
  4. Step 4: Simplify right side
    20,331x = 429,651,550.80
  5. Step 5: Solve for x
    x = 429,651,550.80/20,331
  6. Step 6: Final answer
    x = 21,132.83

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1.5x scale

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.