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Finding the Fourth Proportional to 9,600.78, 13,249.20 and 5,874.78

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Solution

The fourth proportional to 9,600.78, 13,249.20 and 5,874.78 is: 8,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.78 : 13,249.20 = 5,874.78 : x
  2. Step 2: Convert to fraction form
    9,600.78/13,249.20 = 5,874.78/x
  3. Step 3: Cross multiply
    9,600.78x = 13,249.20 × 5,874.78
  4. Step 4: Simplify right side
    9,600.78x = 77,836,135.18
  5. Step 5: Solve for x
    x = 77,836,135.18/9,600.78
  6. Step 6: Final answer
    x = 8,107.27

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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.