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Finding the Fourth Proportional to 22,211.60, 30,652 and 12,779.52

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Solution

The fourth proportional to 22,211.60, 30,652 and 12,779.52 is: 17,635.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,211.60 : 30,652 = 12,779.52 : x
  2. Step 2: Convert to fraction form
    22,211.60/30,652 = 12,779.52/x
  3. Step 3: Cross multiply
    22,211.60x = 30,652 × 12,779.52
  4. Step 4: Simplify right side
    22,211.60x = 391,717,847.04
  5. Step 5: Solve for x
    x = 391,717,847.04/22,211.60
  6. Step 6: Final answer
    x = 17,635.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.