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Finding the Fourth Proportional to 3,407.68, 4,711.80 and 3,250

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Solution

The fourth proportional to 3,407.68, 4,711.80 and 3,250 is: 4,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.68 : 4,711.80 = 3,250 : x
  2. Step 2: Convert to fraction form
    3,407.68/4,711.80 = 3,250/x
  3. Step 3: Cross multiply
    3,407.68x = 4,711.80 × 3,250
  4. Step 4: Simplify right side
    3,407.68x = 15,313,350
  5. Step 5: Solve for x
    x = 15,313,350/3,407.68
  6. Step 6: Final answer
    x = 4,493.78

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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.