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Finding the Fourth Proportional to 8,101.61, 12,134.80 and 3,932.84

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Solution

The fourth proportional to 8,101.61, 12,134.80 and 3,932.84 is: 5,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.61 : 12,134.80 = 3,932.84 : x
  2. Step 2: Convert to fraction form
    8,101.61/12,134.80 = 3,932.84/x
  3. Step 3: Cross multiply
    8,101.61x = 12,134.80 × 3,932.84
  4. Step 4: Simplify right side
    8,101.61x = 47,724,207.17
  5. Step 5: Solve for x
    x = 47,724,207.17/8,101.61
  6. Step 6: Final answer
    x = 5,890.71

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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.