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Finding the Fourth Proportional to 2,184.82, 3,277.78 and 724.12

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Solution

The fourth proportional to 2,184.82, 3,277.78 and 724.12 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.82 : 3,277.78 = 724.12 : x
  2. Step 2: Convert to fraction form
    2,184.82/3,277.78 = 724.12/x
  3. Step 3: Cross multiply
    2,184.82x = 3,277.78 × 724.12
  4. Step 4: Simplify right side
    2,184.82x = 2,373,506.05
  5. Step 5: Solve for x
    x = 2,373,506.05/2,184.82
  6. Step 6: Final answer
    x = 1,086.36

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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.