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Finding the Fourth Proportional to 2,872.68, 3,964.22 and 1,614.05

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Solution

The fourth proportional to 2,872.68, 3,964.22 and 1,614.05 is: 2,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.68 : 3,964.22 = 1,614.05 : x
  2. Step 2: Convert to fraction form
    2,872.68/3,964.22 = 1,614.05/x
  3. Step 3: Cross multiply
    2,872.68x = 3,964.22 × 1,614.05
  4. Step 4: Simplify right side
    2,872.68x = 6,398,421.40
  5. Step 5: Solve for x
    x = 6,398,421.40/2,872.68
  6. Step 6: Final answer
    x = 2,227.34

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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.