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Finding the Fourth Proportional to 1,821.64, 2,732.43 and 667.39

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Solution

The fourth proportional to 1,821.64, 2,732.43 and 667.39 is: 1,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.64 : 2,732.43 = 667.39 : x
  2. Step 2: Convert to fraction form
    1,821.64/2,732.43 = 667.39/x
  3. Step 3: Cross multiply
    1,821.64x = 2,732.43 × 667.39
  4. Step 4: Simplify right side
    1,821.64x = 1,823,596.46
  5. Step 5: Solve for x
    x = 1,823,596.46/1,821.64
  6. Step 6: Final answer
    x = 1,001.07

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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.