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Finding the Fourth Proportional to 3,868.80, 5,791.05 and 2,775.30

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Solution

The fourth proportional to 3,868.80, 5,791.05 and 2,775.30 is: 4,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.80 : 5,791.05 = 2,775.30 : x
  2. Step 2: Convert to fraction form
    3,868.80/5,791.05 = 2,775.30/x
  3. Step 3: Cross multiply
    3,868.80x = 5,791.05 × 2,775.30
  4. Step 4: Simplify right side
    3,868.80x = 16,071,901.07
  5. Step 5: Solve for x
    x = 16,071,901.07/3,868.80
  6. Step 6: Final answer
    x = 4,154.23

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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.