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Finding the Fourth Proportional to 7,012.78, 9,677.68 and 3,868.97

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Solution

The fourth proportional to 7,012.78, 9,677.68 and 3,868.97 is: 5,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.78 : 9,677.68 = 3,868.97 : x
  2. Step 2: Convert to fraction form
    7,012.78/9,677.68 = 3,868.97/x
  3. Step 3: Cross multiply
    7,012.78x = 9,677.68 × 3,868.97
  4. Step 4: Simplify right side
    7,012.78x = 37,442,595.53
  5. Step 5: Solve for x
    x = 37,442,595.53/7,012.78
  6. Step 6: Final answer
    x = 5,339.20

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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.