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Finding the Fourth Proportional to 11,489.92, 15,862.11 and 7,732.84

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Solution

The fourth proportional to 11,489.92, 15,862.11 and 7,732.84 is: 10,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.92 : 15,862.11 = 7,732.84 : x
  2. Step 2: Convert to fraction form
    11,489.92/15,862.11 = 7,732.84/x
  3. Step 3: Cross multiply
    11,489.92x = 15,862.11 × 7,732.84
  4. Step 4: Simplify right side
    11,489.92x = 122,659,158.69
  5. Step 5: Solve for x
    x = 122,659,158.69/11,489.92
  6. Step 6: Final answer
    x = 10,675.37

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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.