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Finding the Fourth Proportional to 2,231.78, 3,345.26 and 997.50

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Solution

The fourth proportional to 2,231.78, 3,345.26 and 997.50 is: 1,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.78 : 3,345.26 = 997.50 : x
  2. Step 2: Convert to fraction form
    2,231.78/3,345.26 = 997.50/x
  3. Step 3: Cross multiply
    2,231.78x = 3,345.26 × 997.50
  4. Step 4: Simplify right side
    2,231.78x = 3,336,896.85
  5. Step 5: Solve for x
    x = 3,336,896.85/2,231.78
  6. Step 6: Final answer
    x = 1,495.17

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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.