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Finding the Fourth Proportional to 7,799.16, 11,711.70 and 7,738.68

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Solution

The fourth proportional to 7,799.16, 11,711.70 and 7,738.68 is: 11,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.16 : 11,711.70 = 7,738.68 : x
  2. Step 2: Convert to fraction form
    7,799.16/11,711.70 = 7,738.68/x
  3. Step 3: Cross multiply
    7,799.16x = 11,711.70 × 7,738.68
  4. Step 4: Simplify right side
    7,799.16x = 90,633,098.56
  5. Step 5: Solve for x
    x = 90,633,098.56/7,799.16
  6. Step 6: Final answer
    x = 11,620.88

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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.