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Finding the Fourth Proportional to 2,872.84, 3,964.34 and 1,614.12

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Solution

The fourth proportional to 2,872.84, 3,964.34 and 1,614.12 is: 2,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.84 : 3,964.34 = 1,614.12 : x
  2. Step 2: Convert to fraction form
    2,872.84/3,964.34 = 1,614.12/x
  3. Step 3: Cross multiply
    2,872.84x = 3,964.34 × 1,614.12
  4. Step 4: Simplify right side
    2,872.84x = 6,398,920.48
  5. Step 5: Solve for x
    x = 6,398,920.48/2,872.84
  6. Step 6: Final answer
    x = 2,227.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.