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Finding the Fourth Proportional to 2,195.46, 3,292.92 and 614.28

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Solution

The fourth proportional to 2,195.46, 3,292.92 and 614.28 is: 921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.46 : 3,292.92 = 614.28 : x
  2. Step 2: Convert to fraction form
    2,195.46/3,292.92 = 614.28/x
  3. Step 3: Cross multiply
    2,195.46x = 3,292.92 × 614.28
  4. Step 4: Simplify right side
    2,195.46x = 2,022,774.90
  5. Step 5: Solve for x
    x = 2,022,774.90/2,195.46
  6. Step 6: Final answer
    x = 921.34

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1.5x scale

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.