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Finding the Fourth Proportional to 7,726, 11,489.61 and 7,479.97

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Solution

The fourth proportional to 7,726, 11,489.61 and 7,479.97 is: 11,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726 : 11,489.61 = 7,479.97 : x
  2. Step 2: Convert to fraction form
    7,726/11,489.61 = 7,479.97/x
  3. Step 3: Cross multiply
    7,726x = 11,489.61 × 7,479.97
  4. Step 4: Simplify right side
    7,726x = 85,941,938.11
  5. Step 5: Solve for x
    x = 85,941,938.11/7,726
  6. Step 6: Final answer
    x = 11,123.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.