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Finding the Fourth Proportional to 7,811.97, 11,711.54 and 3,649.92

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Solution

The fourth proportional to 7,811.97, 11,711.54 and 3,649.92 is: 5,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.97 : 11,711.54 = 3,649.92 : x
  2. Step 2: Convert to fraction form
    7,811.97/11,711.54 = 3,649.92/x
  3. Step 3: Cross multiply
    7,811.97x = 11,711.54 × 3,649.92
  4. Step 4: Simplify right side
    7,811.97x = 42,746,165.83
  5. Step 5: Solve for x
    x = 42,746,165.83/7,811.97
  6. Step 6: Final answer
    x = 5,471.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.