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Finding the Fourth Proportional to 2,986.03, 4,120.49 and 1,659.65

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Solution

The fourth proportional to 2,986.03, 4,120.49 and 1,659.65 is: 2,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.03 : 4,120.49 = 1,659.65 : x
  2. Step 2: Convert to fraction form
    2,986.03/4,120.49 = 1,659.65/x
  3. Step 3: Cross multiply
    2,986.03x = 4,120.49 × 1,659.65
  4. Step 4: Simplify right side
    2,986.03x = 6,838,562.93
  5. Step 5: Solve for x
    x = 6,838,562.93/2,986.03
  6. Step 6: Final answer
    x = 2,290.19

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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.