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Finding the Fourth Proportional to 22,657.60, 33,978.32 and 8,613.89

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Solution

The fourth proportional to 22,657.60, 33,978.32 and 8,613.89 is: 12,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.60 : 33,978.32 = 8,613.89 : x
  2. Step 2: Convert to fraction form
    22,657.60/33,978.32 = 8,613.89/x
  3. Step 3: Cross multiply
    22,657.60x = 33,978.32 × 8,613.89
  4. Step 4: Simplify right side
    22,657.60x = 292,685,510.86
  5. Step 5: Solve for x
    x = 292,685,510.86/22,657.60
  6. Step 6: Final answer
    x = 12,917.76

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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.