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Finding the Fourth Proportional to 9,984.78, 13,679.13 and 9,610.92

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Solution

The fourth proportional to 9,984.78, 13,679.13 and 9,610.92 is: 13,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.78 : 13,679.13 = 9,610.92 : x
  2. Step 2: Convert to fraction form
    9,984.78/13,679.13 = 9,610.92/x
  3. Step 3: Cross multiply
    9,984.78x = 13,679.13 × 9,610.92
  4. Step 4: Simplify right side
    9,984.78x = 131,469,024.10
  5. Step 5: Solve for x
    x = 131,469,024.10/9,984.78
  6. Step 6: Final answer
    x = 13,166.94

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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.