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Finding the Fourth Proportional to 7,817.67, 11,726.52 and 1,974.28

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Solution

The fourth proportional to 7,817.67, 11,726.52 and 1,974.28 is: 2,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.67 : 11,726.52 = 1,974.28 : x
  2. Step 2: Convert to fraction form
    7,817.67/11,726.52 = 1,974.28/x
  3. Step 3: Cross multiply
    7,817.67x = 11,726.52 × 1,974.28
  4. Step 4: Simplify right side
    7,817.67x = 23,151,375.27
  5. Step 5: Solve for x
    x = 23,151,375.27/7,817.67
  6. Step 6: Final answer
    x = 2,961.42

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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.