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Finding the Fourth Proportional to 2,691.38, 3,712.84 and 1,905.86

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Solution

The fourth proportional to 2,691.38, 3,712.84 and 1,905.86 is: 2,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.38 : 3,712.84 = 1,905.86 : x
  2. Step 2: Convert to fraction form
    2,691.38/3,712.84 = 1,905.86/x
  3. Step 3: Cross multiply
    2,691.38x = 3,712.84 × 1,905.86
  4. Step 4: Simplify right side
    2,691.38x = 7,076,129.91
  5. Step 5: Solve for x
    x = 7,076,129.91/2,691.38
  6. Step 6: Final answer
    x = 2,629.19

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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.