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Finding the Fourth Proportional to 3,280.84, 4,923.12 and 1,334.44

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Solution

The fourth proportional to 3,280.84, 4,923.12 and 1,334.44 is: 2,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.84 : 4,923.12 = 1,334.44 : x
  2. Step 2: Convert to fraction form
    3,280.84/4,923.12 = 1,334.44/x
  3. Step 3: Cross multiply
    3,280.84x = 4,923.12 × 1,334.44
  4. Step 4: Simplify right side
    3,280.84x = 6,569,608.25
  5. Step 5: Solve for x
    x = 6,569,608.25/3,280.84
  6. Step 6: Final answer
    x = 2,002.42

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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.