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Finding the Fourth Proportional to 2,540.55, 3,809.87 and 874.20

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Solution

The fourth proportional to 2,540.55, 3,809.87 and 874.20 is: 1,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.55 : 3,809.87 = 874.20 : x
  2. Step 2: Convert to fraction form
    2,540.55/3,809.87 = 874.20/x
  3. Step 3: Cross multiply
    2,540.55x = 3,809.87 × 874.20
  4. Step 4: Simplify right side
    2,540.55x = 3,330,588.35
  5. Step 5: Solve for x
    x = 3,330,588.35/2,540.55
  6. Step 6: Final answer
    x = 1,310.97

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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.