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Finding the Fourth Proportional to 2,540.87, 3,808.72 and 1,719.23

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Solution

The fourth proportional to 2,540.87, 3,808.72 and 1,719.23 is: 2,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.87 : 3,808.72 = 1,719.23 : x
  2. Step 2: Convert to fraction form
    2,540.87/3,808.72 = 1,719.23/x
  3. Step 3: Cross multiply
    2,540.87x = 3,808.72 × 1,719.23
  4. Step 4: Simplify right side
    2,540.87x = 6,548,048.79
  5. Step 5: Solve for x
    x = 6,548,048.79/2,540.87
  6. Step 6: Final answer
    x = 2,577.09

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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.