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Finding the Fourth Proportional to 2,549, 3,517.62 and 1,617.50

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Solution

The fourth proportional to 2,549, 3,517.62 and 1,617.50 is: 2,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549 : 3,517.62 = 1,617.50 : x
  2. Step 2: Convert to fraction form
    2,549/3,517.62 = 1,617.50/x
  3. Step 3: Cross multiply
    2,549x = 3,517.62 × 1,617.50
  4. Step 4: Simplify right side
    2,549x = 5,689,750.35
  5. Step 5: Solve for x
    x = 5,689,750.35/2,549
  6. Step 6: Final answer
    x = 2,232.15

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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.