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Finding the Fourth Proportional to 3,910.92, 5,867.29 and 1,278.55

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Solution

The fourth proportional to 3,910.92, 5,867.29 and 1,278.55 is: 1,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.92 : 5,867.29 = 1,278.55 : x
  2. Step 2: Convert to fraction form
    3,910.92/5,867.29 = 1,278.55/x
  3. Step 3: Cross multiply
    3,910.92x = 5,867.29 × 1,278.55
  4. Step 4: Simplify right side
    3,910.92x = 7,501,623.63
  5. Step 5: Solve for x
    x = 7,501,623.63/3,910.92
  6. Step 6: Final answer
    x = 1,918.12

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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.