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Finding the Fourth Proportional to 2,174.69, 3,262.25 and 614.70

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Solution

The fourth proportional to 2,174.69, 3,262.25 and 614.70 is: 922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.69 : 3,262.25 = 614.70 : x
  2. Step 2: Convert to fraction form
    2,174.69/3,262.25 = 614.70/x
  3. Step 3: Cross multiply
    2,174.69x = 3,262.25 × 614.70
  4. Step 4: Simplify right side
    2,174.69x = 2,005,310.93
  5. Step 5: Solve for x
    x = 2,005,310.93/2,174.69
  6. Step 6: Final answer
    x = 922.11

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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.