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Finding the Fourth Proportional to 6,155.72, 9,236.78 and 1,997

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Solution

The fourth proportional to 6,155.72, 9,236.78 and 1,997 is: 2,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.72 : 9,236.78 = 1,997 : x
  2. Step 2: Convert to fraction form
    6,155.72/9,236.78 = 1,997/x
  3. Step 3: Cross multiply
    6,155.72x = 9,236.78 × 1,997
  4. Step 4: Simplify right side
    6,155.72x = 18,445,849.66
  5. Step 5: Solve for x
    x = 18,445,849.66/6,155.72
  6. Step 6: Final answer
    x = 2,996.54

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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.