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Finding the Fourth Proportional to 8,863.92, 12,230.52 and 5,550

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Solution

The fourth proportional to 8,863.92, 12,230.52 and 5,550 is: 7,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.92 : 12,230.52 = 5,550 : x
  2. Step 2: Convert to fraction form
    8,863.92/12,230.52 = 5,550/x
  3. Step 3: Cross multiply
    8,863.92x = 12,230.52 × 5,550
  4. Step 4: Simplify right side
    8,863.92x = 67,879,386
  5. Step 5: Solve for x
    x = 67,879,386/8,863.92
  6. Step 6: Final answer
    x = 7,657.94

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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.