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Finding the Fourth Proportional to 2,712.86, 3,744.52 and 1,650.79

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Solution

The fourth proportional to 2,712.86, 3,744.52 and 1,650.79 is: 2,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.86 : 3,744.52 = 1,650.79 : x
  2. Step 2: Convert to fraction form
    2,712.86/3,744.52 = 1,650.79/x
  3. Step 3: Cross multiply
    2,712.86x = 3,744.52 × 1,650.79
  4. Step 4: Simplify right side
    2,712.86x = 6,181,416.72
  5. Step 5: Solve for x
    x = 6,181,416.72/2,712.86
  6. Step 6: Final answer
    x = 2,278.56

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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.