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Finding the Fourth Proportional to 2,081.56, 3,122.28 and 542.56

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Solution

The fourth proportional to 2,081.56, 3,122.28 and 542.56 is: 813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.56 : 3,122.28 = 542.56 : x
  2. Step 2: Convert to fraction form
    2,081.56/3,122.28 = 542.56/x
  3. Step 3: Cross multiply
    2,081.56x = 3,122.28 × 542.56
  4. Step 4: Simplify right side
    2,081.56x = 1,694,024.24
  5. Step 5: Solve for x
    x = 1,694,024.24/2,081.56
  6. Step 6: Final answer
    x = 813.82

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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.