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Finding the Fourth Proportional to 2,151.62, 3,227.43 and 690.89

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Solution

The fourth proportional to 2,151.62, 3,227.43 and 690.89 is: 1,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.62 : 3,227.43 = 690.89 : x
  2. Step 2: Convert to fraction form
    2,151.62/3,227.43 = 690.89/x
  3. Step 3: Cross multiply
    2,151.62x = 3,227.43 × 690.89
  4. Step 4: Simplify right side
    2,151.62x = 2,229,799.11
  5. Step 5: Solve for x
    x = 2,229,799.11/2,151.62
  6. Step 6: Final answer
    x = 1,036.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.