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Finding the Fourth Proportional to 3,943.40, 5,912.40 and 1,864.40

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Solution

The fourth proportional to 3,943.40, 5,912.40 and 1,864.40 is: 2,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.40 : 5,912.40 = 1,864.40 : x
  2. Step 2: Convert to fraction form
    3,943.40/5,912.40 = 1,864.40/x
  3. Step 3: Cross multiply
    3,943.40x = 5,912.40 × 1,864.40
  4. Step 4: Simplify right side
    3,943.40x = 11,023,078.56
  5. Step 5: Solve for x
    x = 11,023,078.56/3,943.40
  6. Step 6: Final answer
    x = 2,795.32

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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.