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Finding the Fourth Proportional to 8,468.72, 12,706.68 and 6,524.72

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Solution

The fourth proportional to 8,468.72, 12,706.68 and 6,524.72 is: 9,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.72 : 12,706.68 = 6,524.72 : x
  2. Step 2: Convert to fraction form
    8,468.72/12,706.68 = 6,524.72/x
  3. Step 3: Cross multiply
    8,468.72x = 12,706.68 × 6,524.72
  4. Step 4: Simplify right side
    8,468.72x = 82,907,529.13
  5. Step 5: Solve for x
    x = 82,907,529.13/8,468.72
  6. Step 6: Final answer
    x = 9,789.85

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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.