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Finding the Fourth Proportional to 7,811.28, 11,694.42 and 7,320.78

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Solution

The fourth proportional to 7,811.28, 11,694.42 and 7,320.78 is: 10,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.28 : 11,694.42 = 7,320.78 : x
  2. Step 2: Convert to fraction form
    7,811.28/11,694.42 = 7,320.78/x
  3. Step 3: Cross multiply
    7,811.28x = 11,694.42 × 7,320.78
  4. Step 4: Simplify right side
    7,811.28x = 85,612,276.05
  5. Step 5: Solve for x
    x = 85,612,276.05/7,811.28
  6. Step 6: Final answer
    x = 10,960.08

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1.5x scale

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.