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Finding the Fourth Proportional to 3,691.86, 5,094.78 and 2,035.86

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Solution

The fourth proportional to 3,691.86, 5,094.78 and 2,035.86 is: 2,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.86 : 5,094.78 = 2,035.86 : x
  2. Step 2: Convert to fraction form
    3,691.86/5,094.78 = 2,035.86/x
  3. Step 3: Cross multiply
    3,691.86x = 5,094.78 × 2,035.86
  4. Step 4: Simplify right side
    3,691.86x = 10,372,258.81
  5. Step 5: Solve for x
    x = 10,372,258.81/3,691.86
  6. Step 6: Final answer
    x = 2,809.49

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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.