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Finding the Fourth Proportional to 3,508.65, 5,255.42 and 1,656.99

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Solution

The fourth proportional to 3,508.65, 5,255.42 and 1,656.99 is: 2,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.65 : 5,255.42 = 1,656.99 : x
  2. Step 2: Convert to fraction form
    3,508.65/5,255.42 = 1,656.99/x
  3. Step 3: Cross multiply
    3,508.65x = 5,255.42 × 1,656.99
  4. Step 4: Simplify right side
    3,508.65x = 8,708,170.10
  5. Step 5: Solve for x
    x = 8,708,170.10/3,508.65
  6. Step 6: Final answer
    x = 2,481.91

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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.