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Finding the Fourth Proportional to 2,174.34, 3,260.91 and 614.22

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Solution

The fourth proportional to 2,174.34, 3,260.91 and 614.22 is: 921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.34 : 3,260.91 = 614.22 : x
  2. Step 2: Convert to fraction form
    2,174.34/3,260.91 = 614.22/x
  3. Step 3: Cross multiply
    2,174.34x = 3,260.91 × 614.22
  4. Step 4: Simplify right side
    2,174.34x = 2,002,916.14
  5. Step 5: Solve for x
    x = 2,002,916.14/2,174.34
  6. Step 6: Final answer
    x = 921.16

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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.