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Finding the Fourth Proportional to 3,478.71, 5,204.22 and 3,021.87

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Solution

The fourth proportional to 3,478.71, 5,204.22 and 3,021.87 is: 4,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.71 : 5,204.22 = 3,021.87 : x
  2. Step 2: Convert to fraction form
    3,478.71/5,204.22 = 3,021.87/x
  3. Step 3: Cross multiply
    3,478.71x = 5,204.22 × 3,021.87
  4. Step 4: Simplify right side
    3,478.71x = 15,726,476.29
  5. Step 5: Solve for x
    x = 15,726,476.29/3,478.71
  6. Step 6: Final answer
    x = 4,520.78

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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.