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Finding the Fourth Proportional to 6,142.97, 9,216 and 1,760.73

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Solution

The fourth proportional to 6,142.97, 9,216 and 1,760.73 is: 2,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.97 : 9,216 = 1,760.73 : x
  2. Step 2: Convert to fraction form
    6,142.97/9,216 = 1,760.73/x
  3. Step 3: Cross multiply
    6,142.97x = 9,216 × 1,760.73
  4. Step 4: Simplify right side
    6,142.97x = 16,226,887.68
  5. Step 5: Solve for x
    x = 16,226,887.68/6,142.97
  6. Step 6: Final answer
    x = 2,641.54

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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.