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Finding the Fourth Proportional to 2,023.92, 2,793 and 1,139.73

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Solution

The fourth proportional to 2,023.92, 2,793 and 1,139.73 is: 1,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.92 : 2,793 = 1,139.73 : x
  2. Step 2: Convert to fraction form
    2,023.92/2,793 = 1,139.73/x
  3. Step 3: Cross multiply
    2,023.92x = 2,793 × 1,139.73
  4. Step 4: Simplify right side
    2,023.92x = 3,183,265.89
  5. Step 5: Solve for x
    x = 3,183,265.89/2,023.92
  6. Step 6: Final answer
    x = 1,572.82

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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.