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Finding the Fourth Proportional to 3,578.45, 5,371.11 and 1,938.47

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Solution

The fourth proportional to 3,578.45, 5,371.11 and 1,938.47 is: 2,909.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.45 : 5,371.11 = 1,938.47 : x
  2. Step 2: Convert to fraction form
    3,578.45/5,371.11 = 1,938.47/x
  3. Step 3: Cross multiply
    3,578.45x = 5,371.11 × 1,938.47
  4. Step 4: Simplify right side
    3,578.45x = 10,411,708.75
  5. Step 5: Solve for x
    x = 10,411,708.75/3,578.45
  6. Step 6: Final answer
    x = 2,909.56

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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.