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Finding the Fourth Proportional to 9,351.78, 12,890.42 and 6,829.90

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Solution

The fourth proportional to 9,351.78, 12,890.42 and 6,829.90 is: 9,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.78 : 12,890.42 = 6,829.90 : x
  2. Step 2: Convert to fraction form
    9,351.78/12,890.42 = 6,829.90/x
  3. Step 3: Cross multiply
    9,351.78x = 12,890.42 × 6,829.90
  4. Step 4: Simplify right side
    9,351.78x = 88,040,279.56
  5. Step 5: Solve for x
    x = 88,040,279.56/9,351.78
  6. Step 6: Final answer
    x = 9,414.28

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1.5x scale

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.