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Finding the Fourth Proportional to 8,273.44, 12,417.84 and 8,083.36

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Solution

The fourth proportional to 8,273.44, 12,417.84 and 8,083.36 is: 12,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.44 : 12,417.84 = 8,083.36 : x
  2. Step 2: Convert to fraction form
    8,273.44/12,417.84 = 8,083.36/x
  3. Step 3: Cross multiply
    8,273.44x = 12,417.84 × 8,083.36
  4. Step 4: Simplify right side
    8,273.44x = 100,377,871.14
  5. Step 5: Solve for x
    x = 100,377,871.14/8,273.44
  6. Step 6: Final answer
    x = 12,132.54

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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.