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Finding the Fourth Proportional to 11,191.92, 15,425.84 and 7,648.96

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Solution

The fourth proportional to 11,191.92, 15,425.84 and 7,648.96 is: 10,542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.92 : 15,425.84 = 7,648.96 : x
  2. Step 2: Convert to fraction form
    11,191.92/15,425.84 = 7,648.96/x
  3. Step 3: Cross multiply
    11,191.92x = 15,425.84 × 7,648.96
  4. Step 4: Simplify right side
    11,191.92x = 117,991,633.13
  5. Step 5: Solve for x
    x = 117,991,633.13/11,191.92
  6. Step 6: Final answer
    x = 10,542.57

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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.