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Finding the Fourth Proportional to 8,176.59, 12,279.42 and 6,698.61

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Solution

The fourth proportional to 8,176.59, 12,279.42 and 6,698.61 is: 10,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.59 : 12,279.42 = 6,698.61 : x
  2. Step 2: Convert to fraction form
    8,176.59/12,279.42 = 6,698.61/x
  3. Step 3: Cross multiply
    8,176.59x = 12,279.42 × 6,698.61
  4. Step 4: Simplify right side
    8,176.59x = 82,255,045.61
  5. Step 5: Solve for x
    x = 82,255,045.61/8,176.59
  6. Step 6: Final answer
    x = 10,059.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.