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Finding the Fourth Proportional to 3,963.40, 5,945.04 and 2,330.30

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Solution

The fourth proportional to 3,963.40, 5,945.04 and 2,330.30 is: 3,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.40 : 5,945.04 = 2,330.30 : x
  2. Step 2: Convert to fraction form
    3,963.40/5,945.04 = 2,330.30/x
  3. Step 3: Cross multiply
    3,963.40x = 5,945.04 × 2,330.30
  4. Step 4: Simplify right side
    3,963.40x = 13,853,726.71
  5. Step 5: Solve for x
    x = 13,853,726.71/3,963.40
  6. Step 6: Final answer
    x = 3,495.41

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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.