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Finding the Fourth Proportional to 2,808.50, 3,874.27 and 2,278.00

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Solution

The fourth proportional to 2,808.50, 3,874.27 and 2,278.00 is: 3,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.50 : 3,874.27 = 2,278.00 : x
  2. Step 2: Convert to fraction form
    2,808.50/3,874.27 = 2,278.00/x
  3. Step 3: Cross multiply
    2,808.50x = 3,874.27 × 2,278.00
  4. Step 4: Simplify right side
    2,808.50x = 8,825,589.20
  5. Step 5: Solve for x
    x = 8,825,589.20/2,808.50
  6. Step 6: Final answer
    x = 3,142.45

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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.