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Finding the Fourth Proportional to 2,182.87, 3,274.26 and 643.87

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Solution

The fourth proportional to 2,182.87, 3,274.26 and 643.87 is: 965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.87 : 3,274.26 = 643.87 : x
  2. Step 2: Convert to fraction form
    2,182.87/3,274.26 = 643.87/x
  3. Step 3: Cross multiply
    2,182.87x = 3,274.26 × 643.87
  4. Step 4: Simplify right side
    2,182.87x = 2,108,197.79
  5. Step 5: Solve for x
    x = 2,108,197.79/2,182.87
  6. Step 6: Final answer
    x = 965.79

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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.