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Finding the Fourth Proportional to 6,142.78, 9,215.48 and 1,983.02

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Solution

The fourth proportional to 6,142.78, 9,215.48 and 1,983.02 is: 2,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.78 : 9,215.48 = 1,983.02 : x
  2. Step 2: Convert to fraction form
    6,142.78/9,215.48 = 1,983.02/x
  3. Step 3: Cross multiply
    6,142.78x = 9,215.48 × 1,983.02
  4. Step 4: Simplify right side
    6,142.78x = 18,274,481.15
  5. Step 5: Solve for x
    x = 18,274,481.15/6,142.78
  6. Step 6: Final answer
    x = 2,974.95

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1.5x scale

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.