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Finding the Fourth Proportional to 11,243.70, 15,488.82 and 9,645.12

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Solution

The fourth proportional to 11,243.70, 15,488.82 and 9,645.12 is: 13,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.70 : 15,488.82 = 9,645.12 : x
  2. Step 2: Convert to fraction form
    11,243.70/15,488.82 = 9,645.12/x
  3. Step 3: Cross multiply
    11,243.70x = 15,488.82 × 9,645.12
  4. Step 4: Simplify right side
    11,243.70x = 149,391,527.56
  5. Step 5: Solve for x
    x = 149,391,527.56/11,243.70
  6. Step 6: Final answer
    x = 13,286.69

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Half scale
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Double scale
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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.