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Finding the Fourth Proportional to 2,174.55, 3,261.82 and 614.57

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Solution

The fourth proportional to 2,174.55, 3,261.82 and 614.57 is: 921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.55 : 3,261.82 = 614.57 : x
  2. Step 2: Convert to fraction form
    2,174.55/3,261.82 = 614.57/x
  3. Step 3: Cross multiply
    2,174.55x = 3,261.82 × 614.57
  4. Step 4: Simplify right side
    2,174.55x = 2,004,602.71
  5. Step 5: Solve for x
    x = 2,004,602.71/2,174.55
  6. Step 6: Final answer
    x = 921.85

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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.