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Finding the Fourth Proportional to 15,489.43, 21,375.43 and 8,415.86

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Solution

The fourth proportional to 15,489.43, 21,375.43 and 8,415.86 is: 11,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489.43 : 21,375.43 = 8,415.86 : x
  2. Step 2: Convert to fraction form
    15,489.43/21,375.43 = 8,415.86/x
  3. Step 3: Cross multiply
    15,489.43x = 21,375.43 × 8,415.86
  4. Step 4: Simplify right side
    15,489.43x = 179,892,498.40
  5. Step 5: Solve for x
    x = 179,892,498.40/15,489.43
  6. Step 6: Final answer
    x = 11,613.89

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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.