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Finding the Fourth Proportional to 2,376.76, 3,279 and 1,381.86

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Solution

The fourth proportional to 2,376.76, 3,279 and 1,381.86 is: 1,906.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.76 : 3,279 = 1,381.86 : x
  2. Step 2: Convert to fraction form
    2,376.76/3,279 = 1,381.86/x
  3. Step 3: Cross multiply
    2,376.76x = 3,279 × 1,381.86
  4. Step 4: Simplify right side
    2,376.76x = 4,531,118.94
  5. Step 5: Solve for x
    x = 4,531,118.94/2,376.76
  6. Step 6: Final answer
    x = 1,906.43

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Double scale
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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.