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Finding the Fourth Proportional to 2,807.82, 4,211.92 and 861.38

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Solution

The fourth proportional to 2,807.82, 4,211.92 and 861.38 is: 1,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.82 : 4,211.92 = 861.38 : x
  2. Step 2: Convert to fraction form
    2,807.82/4,211.92 = 861.38/x
  3. Step 3: Cross multiply
    2,807.82x = 4,211.92 × 861.38
  4. Step 4: Simplify right side
    2,807.82x = 3,628,063.65
  5. Step 5: Solve for x
    x = 3,628,063.65/2,807.82
  6. Step 6: Final answer
    x = 1,292.13

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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.