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Finding the Fourth Proportional to 20,620.61, 30,934.78 and 9,376.76

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Solution

The fourth proportional to 20,620.61, 30,934.78 and 9,376.76 is: 14,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,620.61 : 30,934.78 = 9,376.76 : x
  2. Step 2: Convert to fraction form
    20,620.61/30,934.78 = 9,376.76/x
  3. Step 3: Cross multiply
    20,620.61x = 30,934.78 × 9,376.76
  4. Step 4: Simplify right side
    20,620.61x = 290,068,061.61
  5. Step 5: Solve for x
    x = 290,068,061.61/20,620.61
  6. Step 6: Final answer
    x = 14,066.90

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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.