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Finding the Fourth Proportional to 8,081.60, 12,117 and 6,523.52

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Solution

The fourth proportional to 8,081.60, 12,117 and 6,523.52 is: 9,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.60 : 12,117 = 6,523.52 : x
  2. Step 2: Convert to fraction form
    8,081.60/12,117 = 6,523.52/x
  3. Step 3: Cross multiply
    8,081.60x = 12,117 × 6,523.52
  4. Step 4: Simplify right side
    8,081.60x = 79,045,491.84
  5. Step 5: Solve for x
    x = 79,045,491.84/8,081.60
  6. Step 6: Final answer
    x = 9,780.92

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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.