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Finding the Fourth Proportional to 3,867.57, 5,799.90 and 1,401.78

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Solution

The fourth proportional to 3,867.57, 5,799.90 and 1,401.78 is: 2,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.57 : 5,799.90 = 1,401.78 : x
  2. Step 2: Convert to fraction form
    3,867.57/5,799.90 = 1,401.78/x
  3. Step 3: Cross multiply
    3,867.57x = 5,799.90 × 1,401.78
  4. Step 4: Simplify right side
    3,867.57x = 8,130,183.82
  5. Step 5: Solve for x
    x = 8,130,183.82/3,867.57
  6. Step 6: Final answer
    x = 2,102.14

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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.