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Finding the Fourth Proportional to 8,736, 12,061.17 and 6,742.86

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Solution

The fourth proportional to 8,736, 12,061.17 and 6,742.86 is: 9,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,736 : 12,061.17 = 6,742.86 : x
  2. Step 2: Convert to fraction form
    8,736/12,061.17 = 6,742.86/x
  3. Step 3: Cross multiply
    8,736x = 12,061.17 × 6,742.86
  4. Step 4: Simplify right side
    8,736x = 81,326,780.75
  5. Step 5: Solve for x
    x = 81,326,780.75/8,736
  6. Step 6: Final answer
    x = 9,309.38

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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.