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Finding the Fourth Proportional to 1,542.75, 2,129.01 and 921.75

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Solution

The fourth proportional to 1,542.75, 2,129.01 and 921.75 is: 1,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.75 : 2,129.01 = 921.75 : x
  2. Step 2: Convert to fraction form
    1,542.75/2,129.01 = 921.75/x
  3. Step 3: Cross multiply
    1,542.75x = 2,129.01 × 921.75
  4. Step 4: Simplify right side
    1,542.75x = 1,962,414.97
  5. Step 5: Solve for x
    x = 1,962,414.97/1,542.75
  6. Step 6: Final answer
    x = 1,272.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.