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Finding the Fourth Proportional to 3,964.16, 5,947.20 and 1,228.16

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Solution

The fourth proportional to 3,964.16, 5,947.20 and 1,228.16 is: 1,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.16 : 5,947.20 = 1,228.16 : x
  2. Step 2: Convert to fraction form
    3,964.16/5,947.20 = 1,228.16/x
  3. Step 3: Cross multiply
    3,964.16x = 5,947.20 × 1,228.16
  4. Step 4: Simplify right side
    3,964.16x = 7,304,113.15
  5. Step 5: Solve for x
    x = 7,304,113.15/3,964.16
  6. Step 6: Final answer
    x = 1,842.54

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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.