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Finding the Fourth Proportional to 3,578.16, 5,366.42 and 981.30

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Solution

The fourth proportional to 3,578.16, 5,366.42 and 981.30 is: 1,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.16 : 5,366.42 = 981.30 : x
  2. Step 2: Convert to fraction form
    3,578.16/5,366.42 = 981.30/x
  3. Step 3: Cross multiply
    3,578.16x = 5,366.42 × 981.30
  4. Step 4: Simplify right side
    3,578.16x = 5,266,067.95
  5. Step 5: Solve for x
    x = 5,266,067.95/3,578.16
  6. Step 6: Final answer
    x = 1,471.73

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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.