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Finding the Fourth Proportional to 5,963.60, 8,225 and 3,721.20

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Solution

The fourth proportional to 5,963.60, 8,225 and 3,721.20 is: 5,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.60 : 8,225 = 3,721.20 : x
  2. Step 2: Convert to fraction form
    5,963.60/8,225 = 3,721.20/x
  3. Step 3: Cross multiply
    5,963.60x = 8,225 × 3,721.20
  4. Step 4: Simplify right side
    5,963.60x = 30,606,870
  5. Step 5: Solve for x
    x = 30,606,870/5,963.60
  6. Step 6: Final answer
    x = 5,132.28

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1.5x scale

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.