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Finding the Fourth Proportional to 4,115, 6,169.50 and 1,517.96

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Solution

The fourth proportional to 4,115, 6,169.50 and 1,517.96 is: 2,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115 : 6,169.50 = 1,517.96 : x
  2. Step 2: Convert to fraction form
    4,115/6,169.50 = 1,517.96/x
  3. Step 3: Cross multiply
    4,115x = 6,169.50 × 1,517.96
  4. Step 4: Simplify right side
    4,115x = 9,365,054.22
  5. Step 5: Solve for x
    x = 9,365,054.22/4,115
  6. Step 6: Final answer
    x = 2,275.83

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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.