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Finding the Fourth Proportional to 18,280.92, 25,227.72 and 9,897.36

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Solution

The fourth proportional to 18,280.92, 25,227.72 and 9,897.36 is: 13,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.92 : 25,227.72 = 9,897.36 : x
  2. Step 2: Convert to fraction form
    18,280.92/25,227.72 = 9,897.36/x
  3. Step 3: Cross multiply
    18,280.92x = 25,227.72 × 9,897.36
  4. Step 4: Simplify right side
    18,280.92x = 249,687,826.82
  5. Step 5: Solve for x
    x = 249,687,826.82/18,280.92
  6. Step 6: Final answer
    x = 13,658.38

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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.