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Finding the Fourth Proportional to 2,874.61, 4,310.11 and 2,185.75

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Solution

The fourth proportional to 2,874.61, 4,310.11 and 2,185.75 is: 3,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.61 : 4,310.11 = 2,185.75 : x
  2. Step 2: Convert to fraction form
    2,874.61/4,310.11 = 2,185.75/x
  3. Step 3: Cross multiply
    2,874.61x = 4,310.11 × 2,185.75
  4. Step 4: Simplify right side
    2,874.61x = 9,420,822.93
  5. Step 5: Solve for x
    x = 9,420,822.93/2,874.61
  6. Step 6: Final answer
    x = 3,277.25

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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.