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Finding the Fourth Proportional to 3,275.50, 4,520.16 and 1,949.17

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Solution

The fourth proportional to 3,275.50, 4,520.16 and 1,949.17 is: 2,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.50 : 4,520.16 = 1,949.17 : x
  2. Step 2: Convert to fraction form
    3,275.50/4,520.16 = 1,949.17/x
  3. Step 3: Cross multiply
    3,275.50x = 4,520.16 × 1,949.17
  4. Step 4: Simplify right side
    3,275.50x = 8,810,560.27
  5. Step 5: Solve for x
    x = 8,810,560.27/3,275.50
  6. Step 6: Final answer
    x = 2,689.84

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1.5x scale

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.