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Finding the Fourth Proportional to 8,877.92, 12,256.44 and 5,342

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Solution

The fourth proportional to 8,877.92, 12,256.44 and 5,342 is: 7,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877.92 : 12,256.44 = 5,342 : x
  2. Step 2: Convert to fraction form
    8,877.92/12,256.44 = 5,342/x
  3. Step 3: Cross multiply
    8,877.92x = 12,256.44 × 5,342
  4. Step 4: Simplify right side
    8,877.92x = 65,473,902.48
  5. Step 5: Solve for x
    x = 65,473,902.48/8,877.92
  6. Step 6: Final answer
    x = 7,374.91

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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.