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Finding the Fourth Proportional to 10,162.86, 15,249.51 and 7,696.86

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Solution

The fourth proportional to 10,162.86, 15,249.51 and 7,696.86 is: 11,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.86 : 15,249.51 = 7,696.86 : x
  2. Step 2: Convert to fraction form
    10,162.86/15,249.51 = 7,696.86/x
  3. Step 3: Cross multiply
    10,162.86x = 15,249.51 × 7,696.86
  4. Step 4: Simplify right side
    10,162.86x = 117,373,343.54
  5. Step 5: Solve for x
    x = 117,373,343.54/10,162.86
  6. Step 6: Final answer
    x = 11,549.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.