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Finding the Fourth Proportional to 3,262.80, 4,894.20 and 2,223.60

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Solution

The fourth proportional to 3,262.80, 4,894.20 and 2,223.60 is: 3,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.80 : 4,894.20 = 2,223.60 : x
  2. Step 2: Convert to fraction form
    3,262.80/4,894.20 = 2,223.60/x
  3. Step 3: Cross multiply
    3,262.80x = 4,894.20 × 2,223.60
  4. Step 4: Simplify right side
    3,262.80x = 10,882,743.12
  5. Step 5: Solve for x
    x = 10,882,743.12/3,262.80
  6. Step 6: Final answer
    x = 3,335.40

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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.