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Finding the Fourth Proportional to 2,647.62, 3,647.30 and 2,227.95

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Solution

The fourth proportional to 2,647.62, 3,647.30 and 2,227.95 is: 3,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.62 : 3,647.30 = 2,227.95 : x
  2. Step 2: Convert to fraction form
    2,647.62/3,647.30 = 2,227.95/x
  3. Step 3: Cross multiply
    2,647.62x = 3,647.30 × 2,227.95
  4. Step 4: Simplify right side
    2,647.62x = 8,125,990.90
  5. Step 5: Solve for x
    x = 8,125,990.90/2,647.62
  6. Step 6: Final answer
    x = 3,069.17

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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.