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Finding the Fourth Proportional to 2,081.93, 3,122.87 and 542.93

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Solution

The fourth proportional to 2,081.93, 3,122.87 and 542.93 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.93 : 3,122.87 = 542.93 : x
  2. Step 2: Convert to fraction form
    2,081.93/3,122.87 = 542.93/x
  3. Step 3: Cross multiply
    2,081.93x = 3,122.87 × 542.93
  4. Step 4: Simplify right side
    2,081.93x = 1,695,481.48
  5. Step 5: Solve for x
    x = 1,695,481.48/2,081.93
  6. Step 6: Final answer
    x = 814.38

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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.