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Finding the Fourth Proportional to 3,708, 5,115.63 and 2,449.65

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Solution

The fourth proportional to 3,708, 5,115.63 and 2,449.65 is: 3,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708 : 5,115.63 = 2,449.65 : x
  2. Step 2: Convert to fraction form
    3,708/5,115.63 = 2,449.65/x
  3. Step 3: Cross multiply
    3,708x = 5,115.63 × 2,449.65
  4. Step 4: Simplify right side
    3,708x = 12,531,503.03
  5. Step 5: Solve for x
    x = 12,531,503.03/3,708
  6. Step 6: Final answer
    x = 3,379.59

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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.