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Finding the Fourth Proportional to 5,252.97, 7,880.84 and 1,966.13

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Solution

The fourth proportional to 5,252.97, 7,880.84 and 1,966.13 is: 2,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.97 : 7,880.84 = 1,966.13 : x
  2. Step 2: Convert to fraction form
    5,252.97/7,880.84 = 1,966.13/x
  3. Step 3: Cross multiply
    5,252.97x = 7,880.84 × 1,966.13
  4. Step 4: Simplify right side
    5,252.97x = 15,494,755.95
  5. Step 5: Solve for x
    x = 15,494,755.95/5,252.97
  6. Step 6: Final answer
    x = 2,949.71

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1.5x scale

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.