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Finding the Fourth Proportional to 7,928.12, 10,939.30 and 5,096

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Solution

The fourth proportional to 7,928.12, 10,939.30 and 5,096 is: 7,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.12 : 10,939.30 = 5,096 : x
  2. Step 2: Convert to fraction form
    7,928.12/10,939.30 = 5,096/x
  3. Step 3: Cross multiply
    7,928.12x = 10,939.30 × 5,096
  4. Step 4: Simplify right side
    7,928.12x = 55,746,672.80
  5. Step 5: Solve for x
    x = 55,746,672.80/7,928.12
  6. Step 6: Final answer
    x = 7,031.51

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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.