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Finding the Fourth Proportional to 5,169.78, 7,134.28 and 2,811.92

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Solution

The fourth proportional to 5,169.78, 7,134.28 and 2,811.92 is: 3,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.78 : 7,134.28 = 2,811.92 : x
  2. Step 2: Convert to fraction form
    5,169.78/7,134.28 = 2,811.92/x
  3. Step 3: Cross multiply
    5,169.78x = 7,134.28 × 2,811.92
  4. Step 4: Simplify right side
    5,169.78x = 20,060,981.92
  5. Step 5: Solve for x
    x = 20,060,981.92/5,169.78
  6. Step 6: Final answer
    x = 3,880.43

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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.