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Finding the Fourth Proportional to 12,725.92, 17,562.16 and 7,137.12

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Solution

The fourth proportional to 12,725.92, 17,562.16 and 7,137.12 is: 9,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.92 : 17,562.16 = 7,137.12 : x
  2. Step 2: Convert to fraction form
    12,725.92/17,562.16 = 7,137.12/x
  3. Step 3: Cross multiply
    12,725.92x = 17,562.16 × 7,137.12
  4. Step 4: Simplify right side
    12,725.92x = 125,343,243.38
  5. Step 5: Solve for x
    x = 125,343,243.38/12,725.92
  6. Step 6: Final answer
    x = 9,849.44

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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.