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Finding the Fourth Proportional to 2,167.70, 3,264.44 and 2,021.90

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Solution

The fourth proportional to 2,167.70, 3,264.44 and 2,021.90 is: 3,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.70 : 3,264.44 = 2,021.90 : x
  2. Step 2: Convert to fraction form
    2,167.70/3,264.44 = 2,021.90/x
  3. Step 3: Cross multiply
    2,167.70x = 3,264.44 × 2,021.90
  4. Step 4: Simplify right side
    2,167.70x = 6,600,344.80
  5. Step 5: Solve for x
    x = 6,600,344.80/2,167.70
  6. Step 6: Final answer
    x = 3,044.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.