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Finding the Fourth Proportional to 2,793.92, 3,856.12 and 1,849.72

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Solution

The fourth proportional to 2,793.92, 3,856.12 and 1,849.72 is: 2,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.92 : 3,856.12 = 1,849.72 : x
  2. Step 2: Convert to fraction form
    2,793.92/3,856.12 = 1,849.72/x
  3. Step 3: Cross multiply
    2,793.92x = 3,856.12 × 1,849.72
  4. Step 4: Simplify right side
    2,793.92x = 7,132,742.29
  5. Step 5: Solve for x
    x = 7,132,742.29/2,793.92
  6. Step 6: Final answer
    x = 2,552.95

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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.