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Finding the Fourth Proportional to 1,922.72, 2,882.66 and 997.70

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Solution

The fourth proportional to 1,922.72, 2,882.66 and 997.70 is: 1,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.72 : 2,882.66 = 997.70 : x
  2. Step 2: Convert to fraction form
    1,922.72/2,882.66 = 997.70/x
  3. Step 3: Cross multiply
    1,922.72x = 2,882.66 × 997.70
  4. Step 4: Simplify right side
    1,922.72x = 2,876,010.48
  5. Step 5: Solve for x
    x = 2,876,010.48/1,922.72
  6. Step 6: Final answer
    x = 1,495.81

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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.