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Finding the Fourth Proportional to 3,872.70, 5,809.05 and 2,232.45

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Solution

The fourth proportional to 3,872.70, 5,809.05 and 2,232.45 is: 3,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.70 : 5,809.05 = 2,232.45 : x
  2. Step 2: Convert to fraction form
    3,872.70/5,809.05 = 2,232.45/x
  3. Step 3: Cross multiply
    3,872.70x = 5,809.05 × 2,232.45
  4. Step 4: Simplify right side
    3,872.70x = 12,968,413.67
  5. Step 5: Solve for x
    x = 12,968,413.67/3,872.70
  6. Step 6: Final answer
    x = 3,348.68

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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.