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Finding the Fourth Proportional to 11,396.34, 15,691.86 and 9,713.97

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Solution

The fourth proportional to 11,396.34, 15,691.86 and 9,713.97 is: 13,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.34 : 15,691.86 = 9,713.97 : x
  2. Step 2: Convert to fraction form
    11,396.34/15,691.86 = 9,713.97/x
  3. Step 3: Cross multiply
    11,396.34x = 15,691.86 × 9,713.97
  4. Step 4: Simplify right side
    11,396.34x = 152,430,257.28
  5. Step 5: Solve for x
    x = 152,430,257.28/11,396.34
  6. Step 6: Final answer
    x = 13,375.37

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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.