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Finding the Fourth Proportional to 10,957.76, 15,134.28 and 7,986.86

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Solution

The fourth proportional to 10,957.76, 15,134.28 and 7,986.86 is: 11,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.76 : 15,134.28 = 7,986.86 : x
  2. Step 2: Convert to fraction form
    10,957.76/15,134.28 = 7,986.86/x
  3. Step 3: Cross multiply
    10,957.76x = 15,134.28 × 7,986.86
  4. Step 4: Simplify right side
    10,957.76x = 120,875,375.56
  5. Step 5: Solve for x
    x = 120,875,375.56/10,957.76
  6. Step 6: Final answer
    x = 11,031.03

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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.