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Finding the Fourth Proportional to 20,331, 30,497.04 and 6,480

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Solution

The fourth proportional to 20,331, 30,497.04 and 6,480 is: 9,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,331 : 30,497.04 = 6,480 : x
  2. Step 2: Convert to fraction form
    20,331/30,497.04 = 6,480/x
  3. Step 3: Cross multiply
    20,331x = 30,497.04 × 6,480
  4. Step 4: Simplify right side
    20,331x = 197,620,819.20
  5. Step 5: Solve for x
    x = 197,620,819.20/20,331
  6. Step 6: Final answer
    x = 9,720.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.