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Finding the Fourth Proportional to 11,375.24, 15,691.20 and 7,838.24

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Solution

The fourth proportional to 11,375.24, 15,691.20 and 7,838.24 is: 10,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.24 : 15,691.20 = 7,838.24 : x
  2. Step 2: Convert to fraction form
    11,375.24/15,691.20 = 7,838.24/x
  3. Step 3: Cross multiply
    11,375.24x = 15,691.20 × 7,838.24
  4. Step 4: Simplify right side
    11,375.24x = 122,991,391.49
  5. Step 5: Solve for x
    x = 122,991,391.49/11,375.24
  6. Step 6: Final answer
    x = 10,812.20

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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.