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Finding the Fourth Proportional to 2,517.76, 3,765.12 and 2,051.20

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Solution

The fourth proportional to 2,517.76, 3,765.12 and 2,051.20 is: 3,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.76 : 3,765.12 = 2,051.20 : x
  2. Step 2: Convert to fraction form
    2,517.76/3,765.12 = 2,051.20/x
  3. Step 3: Cross multiply
    2,517.76x = 3,765.12 × 2,051.20
  4. Step 4: Simplify right side
    2,517.76x = 7,723,014.14
  5. Step 5: Solve for x
    x = 7,723,014.14/2,517.76
  6. Step 6: Final answer
    x = 3,067.41

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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.