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Finding the Fourth Proportional to 3,427, 5,140.64 and 1,965.48

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Solution

The fourth proportional to 3,427, 5,140.64 and 1,965.48 is: 2,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427 : 5,140.64 = 1,965.48 : x
  2. Step 2: Convert to fraction form
    3,427/5,140.64 = 1,965.48/x
  3. Step 3: Cross multiply
    3,427x = 5,140.64 × 1,965.48
  4. Step 4: Simplify right side
    3,427x = 10,103,825.11
  5. Step 5: Solve for x
    x = 10,103,825.11/3,427
  6. Step 6: Final answer
    x = 2,948.30

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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.