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Finding the Fourth Proportional to 3,713.19, 5,569.79 and 1,659.75

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Solution

The fourth proportional to 3,713.19, 5,569.79 and 1,659.75 is: 2,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.19 : 5,569.79 = 1,659.75 : x
  2. Step 2: Convert to fraction form
    3,713.19/5,569.79 = 1,659.75/x
  3. Step 3: Cross multiply
    3,713.19x = 5,569.79 × 1,659.75
  4. Step 4: Simplify right side
    3,713.19x = 9,244,450.65
  5. Step 5: Solve for x
    x = 9,244,450.65/3,713.19
  6. Step 6: Final answer
    x = 2,489.63

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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.