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Finding the Fourth Proportional to 15,112, 20,854.88 and 8,488

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Solution

The fourth proportional to 15,112, 20,854.88 and 8,488 is: 11,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112 : 20,854.88 = 8,488 : x
  2. Step 2: Convert to fraction form
    15,112/20,854.88 = 8,488/x
  3. Step 3: Cross multiply
    15,112x = 20,854.88 × 8,488
  4. Step 4: Simplify right side
    15,112x = 177,016,221.44
  5. Step 5: Solve for x
    x = 177,016,221.44/15,112
  6. Step 6: Final answer
    x = 11,713.62

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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.