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Finding the Fourth Proportional to 3,965.80, 5,949.18 and 1,657

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Solution

The fourth proportional to 3,965.80, 5,949.18 and 1,657 is: 2,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.80 : 5,949.18 = 1,657 : x
  2. Step 2: Convert to fraction form
    3,965.80/5,949.18 = 1,657/x
  3. Step 3: Cross multiply
    3,965.80x = 5,949.18 × 1,657
  4. Step 4: Simplify right side
    3,965.80x = 9,857,791.26
  5. Step 5: Solve for x
    x = 9,857,791.26/3,965.80
  6. Step 6: Final answer
    x = 2,485.70

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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.