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Finding the Fourth Proportional to 10,555.97, 15,834.02 and 2,658.47

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Solution

The fourth proportional to 10,555.97, 15,834.02 and 2,658.47 is: 3,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.97 : 15,834.02 = 2,658.47 : x
  2. Step 2: Convert to fraction form
    10,555.97/15,834.02 = 2,658.47/x
  3. Step 3: Cross multiply
    10,555.97x = 15,834.02 × 2,658.47
  4. Step 4: Simplify right side
    10,555.97x = 42,094,174.69
  5. Step 5: Solve for x
    x = 42,094,174.69/10,555.97
  6. Step 6: Final answer
    x = 3,987.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.