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Finding the Fourth Proportional to 3,960.50, 5,465.49 and 2,304.50

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Solution

The fourth proportional to 3,960.50, 5,465.49 and 2,304.50 is: 3,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.50 : 5,465.49 = 2,304.50 : x
  2. Step 2: Convert to fraction form
    3,960.50/5,465.49 = 2,304.50/x
  3. Step 3: Cross multiply
    3,960.50x = 5,465.49 × 2,304.50
  4. Step 4: Simplify right side
    3,960.50x = 12,595,221.71
  5. Step 5: Solve for x
    x = 12,595,221.71/3,960.50
  6. Step 6: Final answer
    x = 3,180.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.