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Finding the Fourth Proportional to 3,868.07, 5,337.94 and 2,099.68

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Solution

The fourth proportional to 3,868.07, 5,337.94 and 2,099.68 is: 2,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.07 : 5,337.94 = 2,099.68 : x
  2. Step 2: Convert to fraction form
    3,868.07/5,337.94 = 2,099.68/x
  3. Step 3: Cross multiply
    3,868.07x = 5,337.94 × 2,099.68
  4. Step 4: Simplify right side
    3,868.07x = 11,207,965.86
  5. Step 5: Solve for x
    x = 11,207,965.86/3,868.07
  6. Step 6: Final answer
    x = 2,897.56

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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.