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Finding the Fourth Proportional to 2,727.76, 3,764.48 and 1,679.88

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Solution

The fourth proportional to 2,727.76, 3,764.48 and 1,679.88 is: 2,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.76 : 3,764.48 = 1,679.88 : x
  2. Step 2: Convert to fraction form
    2,727.76/3,764.48 = 1,679.88/x
  3. Step 3: Cross multiply
    2,727.76x = 3,764.48 × 1,679.88
  4. Step 4: Simplify right side
    2,727.76x = 6,323,874.66
  5. Step 5: Solve for x
    x = 6,323,874.66/2,727.76
  6. Step 6: Final answer
    x = 2,318.34

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1.5x scale

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.