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Finding the Fourth Proportional to 1,811.89, 2,498.11 and 1,542.44

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Solution

The fourth proportional to 1,811.89, 2,498.11 and 1,542.44 is: 2,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.89 : 2,498.11 = 1,542.44 : x
  2. Step 2: Convert to fraction form
    1,811.89/2,498.11 = 1,542.44/x
  3. Step 3: Cross multiply
    1,811.89x = 2,498.11 × 1,542.44
  4. Step 4: Simplify right side
    1,811.89x = 3,853,187.18
  5. Step 5: Solve for x
    x = 3,853,187.18/1,811.89
  6. Step 6: Final answer
    x = 2,126.62

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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.