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Finding the Fourth Proportional to 7,227.60, 9,974.04 and 4,083.78

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Solution

The fourth proportional to 7,227.60, 9,974.04 and 4,083.78 is: 5,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.60 : 9,974.04 = 4,083.78 : x
  2. Step 2: Convert to fraction form
    7,227.60/9,974.04 = 4,083.78/x
  3. Step 3: Cross multiply
    7,227.60x = 9,974.04 × 4,083.78
  4. Step 4: Simplify right side
    7,227.60x = 40,731,785.07
  5. Step 5: Solve for x
    x = 40,731,785.07/7,227.60
  6. Step 6: Final answer
    x = 5,635.59

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1.5x scale

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.