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Finding the Fourth Proportional to 8,725.92, 12,044.24 and 5,412

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Solution

The fourth proportional to 8,725.92, 12,044.24 and 5,412 is: 7,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.92 : 12,044.24 = 5,412 : x
  2. Step 2: Convert to fraction form
    8,725.92/12,044.24 = 5,412/x
  3. Step 3: Cross multiply
    8,725.92x = 12,044.24 × 5,412
  4. Step 4: Simplify right side
    8,725.92x = 65,183,426.88
  5. Step 5: Solve for x
    x = 65,183,426.88/8,725.92
  6. Step 6: Final answer
    x = 7,470.09

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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.