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Finding the Fourth Proportional to 9,982.78, 13,676.39 and 9,608.92

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Solution

The fourth proportional to 9,982.78, 13,676.39 and 9,608.92 is: 13,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.78 : 13,676.39 = 9,608.92 : x
  2. Step 2: Convert to fraction form
    9,982.78/13,676.39 = 9,608.92/x
  3. Step 3: Cross multiply
    9,982.78x = 13,676.39 × 9,608.92
  4. Step 4: Simplify right side
    9,982.78x = 131,415,337.40
  5. Step 5: Solve for x
    x = 131,415,337.40/9,982.78
  6. Step 6: Final answer
    x = 13,164.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.