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Finding the Fourth Proportional to 8,376.92, 12,560.59 and 3,442.50

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Solution

The fourth proportional to 8,376.92, 12,560.59 and 3,442.50 is: 5,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.92 : 12,560.59 = 3,442.50 : x
  2. Step 2: Convert to fraction form
    8,376.92/12,560.59 = 3,442.50/x
  3. Step 3: Cross multiply
    8,376.92x = 12,560.59 × 3,442.50
  4. Step 4: Simplify right side
    8,376.92x = 43,239,845.06
  5. Step 5: Solve for x
    x = 43,239,845.06/8,376.92
  6. Step 6: Final answer
    x = 5,161.78

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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.