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Finding the Fourth Proportional to 8,154.66, 12,239.69 and 5,234.61

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Solution

The fourth proportional to 8,154.66, 12,239.69 and 5,234.61 is: 7,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.66 : 12,239.69 = 5,234.61 : x
  2. Step 2: Convert to fraction form
    8,154.66/12,239.69 = 5,234.61/x
  3. Step 3: Cross multiply
    8,154.66x = 12,239.69 × 5,234.61
  4. Step 4: Simplify right side
    8,154.66x = 64,069,977.50
  5. Step 5: Solve for x
    x = 64,069,977.50/8,154.66
  6. Step 6: Final answer
    x = 7,856.85

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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.