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Finding the Fourth Proportional to 15,086.82, 20,819.31 and 9,117.47

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Solution

The fourth proportional to 15,086.82, 20,819.31 and 9,117.47 is: 12,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.82 : 20,819.31 = 9,117.47 : x
  2. Step 2: Convert to fraction form
    15,086.82/20,819.31 = 9,117.47/x
  3. Step 3: Cross multiply
    15,086.82x = 20,819.31 × 9,117.47
  4. Step 4: Simplify right side
    15,086.82x = 189,819,330.25
  5. Step 5: Solve for x
    x = 189,819,330.25/15,086.82
  6. Step 6: Final answer
    x = 12,581.80

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1.5x scale

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.