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Finding the Fourth Proportional to 3,868.92, 5,806.20 and 2,897.64

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Solution

The fourth proportional to 3,868.92, 5,806.20 and 2,897.64 is: 4,348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.92 : 5,806.20 = 2,897.64 : x
  2. Step 2: Convert to fraction form
    3,868.92/5,806.20 = 2,897.64/x
  3. Step 3: Cross multiply
    3,868.92x = 5,806.20 × 2,897.64
  4. Step 4: Simplify right side
    3,868.92x = 16,824,277.37
  5. Step 5: Solve for x
    x = 16,824,277.37/3,868.92
  6. Step 6: Final answer
    x = 4,348.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.