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Finding the Fourth Proportional to 15,489.24, 21,375.24 and 8,415.72

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Solution

The fourth proportional to 15,489.24, 21,375.24 and 8,415.72 is: 11,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,489.24 : 21,375.24 = 8,415.72 : x
  2. Step 2: Convert to fraction form
    15,489.24/21,375.24 = 8,415.72/x
  3. Step 3: Cross multiply
    15,489.24x = 21,375.24 × 8,415.72
  4. Step 4: Simplify right side
    15,489.24x = 179,888,034.77
  5. Step 5: Solve for x
    x = 179,888,034.77/15,489.24
  6. Step 6: Final answer
    x = 11,613.74

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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.