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Finding the Fourth Proportional to 18,658.97, 25,749.38 and 10,275.47

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Solution

The fourth proportional to 18,658.97, 25,749.38 and 10,275.47 is: 14,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.97 : 25,749.38 = 10,275.47 : x
  2. Step 2: Convert to fraction form
    18,658.97/25,749.38 = 10,275.47/x
  3. Step 3: Cross multiply
    18,658.97x = 25,749.38 × 10,275.47
  4. Step 4: Simplify right side
    18,658.97x = 264,586,917.41
  5. Step 5: Solve for x
    x = 264,586,917.41/18,658.97
  6. Step 6: Final answer
    x = 14,180.15

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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.