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Finding the Fourth Proportional to 2,081.76, 3,122.64 and 542.76

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Solution

The fourth proportional to 2,081.76, 3,122.64 and 542.76 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.76 : 3,122.64 = 542.76 : x
  2. Step 2: Convert to fraction form
    2,081.76/3,122.64 = 542.76/x
  3. Step 3: Cross multiply
    2,081.76x = 3,122.64 × 542.76
  4. Step 4: Simplify right side
    2,081.76x = 1,694,844.09
  5. Step 5: Solve for x
    x = 1,694,844.09/2,081.76
  6. Step 6: Final answer
    x = 814.14

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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.