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Finding the Fourth Proportional to 3,578.43, 5,368.02 and 981.39

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Solution

The fourth proportional to 3,578.43, 5,368.02 and 981.39 is: 1,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.43 : 5,368.02 = 981.39 : x
  2. Step 2: Convert to fraction form
    3,578.43/5,368.02 = 981.39/x
  3. Step 3: Cross multiply
    3,578.43x = 5,368.02 × 981.39
  4. Step 4: Simplify right side
    3,578.43x = 5,268,121.15
  5. Step 5: Solve for x
    x = 5,268,121.15/3,578.43
  6. Step 6: Final answer
    x = 1,472.19

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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.