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Finding the Fourth Proportional to 2,377.30, 3,566 and 817.29

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Solution

The fourth proportional to 2,377.30, 3,566 and 817.29 is: 1,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.30 : 3,566 = 817.29 : x
  2. Step 2: Convert to fraction form
    2,377.30/3,566 = 817.29/x
  3. Step 3: Cross multiply
    2,377.30x = 3,566 × 817.29
  4. Step 4: Simplify right side
    2,377.30x = 2,914,456.14
  5. Step 5: Solve for x
    x = 2,914,456.14/2,377.30
  6. Step 6: Final answer
    x = 1,225.95

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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.