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Finding the Fourth Proportional to 1,542.78, 2,129.04 and 861.42

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Solution

The fourth proportional to 1,542.78, 2,129.04 and 861.42 is: 1,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.78 : 2,129.04 = 861.42 : x
  2. Step 2: Convert to fraction form
    1,542.78/2,129.04 = 861.42/x
  3. Step 3: Cross multiply
    1,542.78x = 2,129.04 × 861.42
  4. Step 4: Simplify right side
    1,542.78x = 1,833,997.64
  5. Step 5: Solve for x
    x = 1,833,997.64/1,542.78
  6. Step 6: Final answer
    x = 1,188.76

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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.