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Finding the Fourth Proportional to 2,312.38, 3,468.51 and 850.90

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Solution

The fourth proportional to 2,312.38, 3,468.51 and 850.90 is: 1,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.38 : 3,468.51 = 850.90 : x
  2. Step 2: Convert to fraction form
    2,312.38/3,468.51 = 850.90/x
  3. Step 3: Cross multiply
    2,312.38x = 3,468.51 × 850.90
  4. Step 4: Simplify right side
    2,312.38x = 2,951,355.16
  5. Step 5: Solve for x
    x = 2,951,355.16/2,312.38
  6. Step 6: Final answer
    x = 1,276.33

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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.