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Finding the Fourth Proportional to 8,879.92, 12,259.20 and 5,344

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Solution

The fourth proportional to 8,879.92, 12,259.20 and 5,344 is: 7,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,879.92 : 12,259.20 = 5,344 : x
  2. Step 2: Convert to fraction form
    8,879.92/12,259.20 = 5,344/x
  3. Step 3: Cross multiply
    8,879.92x = 12,259.20 × 5,344
  4. Step 4: Simplify right side
    8,879.92x = 65,513,164.80
  5. Step 5: Solve for x
    x = 65,513,164.80/8,879.92
  6. Step 6: Final answer
    x = 7,377.68

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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.