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Finding the Fourth Proportional to 3,906.32, 5,390.12 and 2,250

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Solution

The fourth proportional to 3,906.32, 5,390.12 and 2,250 is: 3,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.32 : 5,390.12 = 2,250 : x
  2. Step 2: Convert to fraction form
    3,906.32/5,390.12 = 2,250/x
  3. Step 3: Cross multiply
    3,906.32x = 5,390.12 × 2,250
  4. Step 4: Simplify right side
    3,906.32x = 12,127,770
  5. Step 5: Solve for x
    x = 12,127,770/3,906.32
  6. Step 6: Final answer
    x = 3,104.65

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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.