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Finding the Fourth Proportional to 10,661.31, 15,992.20 and 8,471.58

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Solution

The fourth proportional to 10,661.31, 15,992.20 and 8,471.58 is: 12,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.31 : 15,992.20 = 8,471.58 : x
  2. Step 2: Convert to fraction form
    10,661.31/15,992.20 = 8,471.58/x
  3. Step 3: Cross multiply
    10,661.31x = 15,992.20 × 8,471.58
  4. Step 4: Simplify right side
    10,661.31x = 135,479,180.50
  5. Step 5: Solve for x
    x = 135,479,180.50/10,661.31
  6. Step 6: Final answer
    x = 12,707.55

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1.5x scale

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.