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Finding the Fourth Proportional to 8,645, 12,956.56 and 5,523.80

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Solution

The fourth proportional to 8,645, 12,956.56 and 5,523.80 is: 8,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645 : 12,956.56 = 5,523.80 : x
  2. Step 2: Convert to fraction form
    8,645/12,956.56 = 5,523.80/x
  3. Step 3: Cross multiply
    8,645x = 12,956.56 × 5,523.80
  4. Step 4: Simplify right side
    8,645x = 71,569,446.13
  5. Step 5: Solve for x
    x = 71,569,446.13/8,645
  6. Step 6: Final answer
    x = 8,278.71

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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.