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Finding the Fourth Proportional to 3,866.30, 5,799.42 and 1,401.11

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Solution

The fourth proportional to 3,866.30, 5,799.42 and 1,401.11 is: 2,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.30 : 5,799.42 = 1,401.11 : x
  2. Step 2: Convert to fraction form
    3,866.30/5,799.42 = 1,401.11/x
  3. Step 3: Cross multiply
    3,866.30x = 5,799.42 × 1,401.11
  4. Step 4: Simplify right side
    3,866.30x = 8,125,625.36
  5. Step 5: Solve for x
    x = 8,125,625.36/3,866.30
  6. Step 6: Final answer
    x = 2,101.65

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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.