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Finding the Fourth Proportional to 3,863.02, 5,328.57 and 2,290

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Solution

The fourth proportional to 3,863.02, 5,328.57 and 2,290 is: 3,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.02 : 5,328.57 = 2,290 : x
  2. Step 2: Convert to fraction form
    3,863.02/5,328.57 = 2,290/x
  3. Step 3: Cross multiply
    3,863.02x = 5,328.57 × 2,290
  4. Step 4: Simplify right side
    3,863.02x = 12,202,425.30
  5. Step 5: Solve for x
    x = 12,202,425.30/3,863.02
  6. Step 6: Final answer
    x = 3,158.78

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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.