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Finding the Fourth Proportional to 11,138.16, 15,375.96 and 6,952.56

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Solution

The fourth proportional to 11,138.16, 15,375.96 and 6,952.56 is: 9,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.16 : 15,375.96 = 6,952.56 : x
  2. Step 2: Convert to fraction form
    11,138.16/15,375.96 = 6,952.56/x
  3. Step 3: Cross multiply
    11,138.16x = 15,375.96 × 6,952.56
  4. Step 4: Simplify right side
    11,138.16x = 106,902,284.46
  5. Step 5: Solve for x
    x = 106,902,284.46/11,138.16
  6. Step 6: Final answer
    x = 9,597.84

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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.