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Finding the Fourth Proportional to 3,966.19, 5,949.28 and 1,657.69

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Solution

The fourth proportional to 3,966.19, 5,949.28 and 1,657.69 is: 2,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.19 : 5,949.28 = 1,657.69 : x
  2. Step 2: Convert to fraction form
    3,966.19/5,949.28 = 1,657.69/x
  3. Step 3: Cross multiply
    3,966.19x = 5,949.28 × 1,657.69
  4. Step 4: Simplify right side
    3,966.19x = 9,862,049.16
  5. Step 5: Solve for x
    x = 9,862,049.16/3,966.19
  6. Step 6: Final answer
    x = 2,486.53

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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.