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Finding the Fourth Proportional to 3,860, 5,791.32 and 1,913.60

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Solution

The fourth proportional to 3,860, 5,791.32 and 1,913.60 is: 2,871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860 : 5,791.32 = 1,913.60 : x
  2. Step 2: Convert to fraction form
    3,860/5,791.32 = 1,913.60/x
  3. Step 3: Cross multiply
    3,860x = 5,791.32 × 1,913.60
  4. Step 4: Simplify right side
    3,860x = 11,082,269.95
  5. Step 5: Solve for x
    x = 11,082,269.95/3,860
  6. Step 6: Final answer
    x = 2,871.05

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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.