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Finding the Fourth Proportional to 3,578.78, 4,938.71 and 2,006.88

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Solution

The fourth proportional to 3,578.78, 4,938.71 and 2,006.88 is: 2,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.78 : 4,938.71 = 2,006.88 : x
  2. Step 2: Convert to fraction form
    3,578.78/4,938.71 = 2,006.88/x
  3. Step 3: Cross multiply
    3,578.78x = 4,938.71 × 2,006.88
  4. Step 4: Simplify right side
    3,578.78x = 9,911,369.77
  5. Step 5: Solve for x
    x = 9,911,369.77/3,578.78
  6. Step 6: Final answer
    x = 2,769.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.