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Finding the Fourth Proportional to 3,578.78, 5,368.17 and 981.72

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Solution

The fourth proportional to 3,578.78, 5,368.17 and 981.72 is: 1,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.78 : 5,368.17 = 981.72 : x
  2. Step 2: Convert to fraction form
    3,578.78/5,368.17 = 981.72/x
  3. Step 3: Cross multiply
    3,578.78x = 5,368.17 × 981.72
  4. Step 4: Simplify right side
    3,578.78x = 5,270,034.94
  5. Step 5: Solve for x
    x = 5,270,034.94/3,578.78
  6. Step 6: Final answer
    x = 1,472.58

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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.