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Finding the Fourth Proportional to 2,747.76, 3,792.54 and 2,149.08

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Solution

The fourth proportional to 2,747.76, 3,792.54 and 2,149.08 is: 2,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.76 : 3,792.54 = 2,149.08 : x
  2. Step 2: Convert to fraction form
    2,747.76/3,792.54 = 2,149.08/x
  3. Step 3: Cross multiply
    2,747.76x = 3,792.54 × 2,149.08
  4. Step 4: Simplify right side
    2,747.76x = 8,150,471.86
  5. Step 5: Solve for x
    x = 8,150,471.86/2,747.76
  6. Step 6: Final answer
    x = 2,966.22

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1.5x scale

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.