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Finding the Fourth Proportional to 20,642.64, 30,956.04 and 8,788.90

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Solution

The fourth proportional to 20,642.64, 30,956.04 and 8,788.90 is: 13,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642.64 : 30,956.04 = 8,788.90 : x
  2. Step 2: Convert to fraction form
    20,642.64/30,956.04 = 8,788.90/x
  3. Step 3: Cross multiply
    20,642.64x = 30,956.04 × 8,788.90
  4. Step 4: Simplify right side
    20,642.64x = 272,069,429.61
  5. Step 5: Solve for x
    x = 272,069,429.61/20,642.64
  6. Step 6: Final answer
    x = 13,179.97

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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.