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Finding the Fourth Proportional to 3,228.80, 4,844.01 and 920.30

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Solution

The fourth proportional to 3,228.80, 4,844.01 and 920.30 is: 1,380.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.80 : 4,844.01 = 920.30 : x
  2. Step 2: Convert to fraction form
    3,228.80/4,844.01 = 920.30/x
  3. Step 3: Cross multiply
    3,228.80x = 4,844.01 × 920.30
  4. Step 4: Simplify right side
    3,228.80x = 4,457,937.80
  5. Step 5: Solve for x
    x = 4,457,937.80/3,228.80
  6. Step 6: Final answer
    x = 1,380.68

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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.