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Finding the Fourth Proportional to 3,190.73, 4,787.52 and 1,728.17

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Solution

The fourth proportional to 3,190.73, 4,787.52 and 1,728.17 is: 2,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.73 : 4,787.52 = 1,728.17 : x
  2. Step 2: Convert to fraction form
    3,190.73/4,787.52 = 1,728.17/x
  3. Step 3: Cross multiply
    3,190.73x = 4,787.52 × 1,728.17
  4. Step 4: Simplify right side
    3,190.73x = 8,273,624.50
  5. Step 5: Solve for x
    x = 8,273,624.50/3,190.73
  6. Step 6: Final answer
    x = 2,593.02

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1.5x scale

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.