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Finding the Fourth Proportional to 7,227.75, 9,974.31 and 3,915.75

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Solution

The fourth proportional to 7,227.75, 9,974.31 and 3,915.75 is: 5,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.75 : 9,974.31 = 3,915.75 : x
  2. Step 2: Convert to fraction form
    7,227.75/9,974.31 = 3,915.75/x
  3. Step 3: Cross multiply
    7,227.75x = 9,974.31 × 3,915.75
  4. Step 4: Simplify right side
    7,227.75x = 39,056,904.38
  5. Step 5: Solve for x
    x = 39,056,904.38/7,227.75
  6. Step 6: Final answer
    x = 5,403.74

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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.