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Finding the Fourth Proportional to 3,200.64, 4,800.95 and 1,120.65

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Solution

The fourth proportional to 3,200.64, 4,800.95 and 1,120.65 is: 1,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.64 : 4,800.95 = 1,120.65 : x
  2. Step 2: Convert to fraction form
    3,200.64/4,800.95 = 1,120.65/x
  3. Step 3: Cross multiply
    3,200.64x = 4,800.95 × 1,120.65
  4. Step 4: Simplify right side
    3,200.64x = 5,380,179.01
  5. Step 5: Solve for x
    x = 5,380,179.01/3,200.64
  6. Step 6: Final answer
    x = 1,680.97

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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.