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Finding the Fourth Proportional to 8,486.48, 12,642.22 and 8,228.54

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Solution

The fourth proportional to 8,486.48, 12,642.22 and 8,228.54 is: 12,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.48 : 12,642.22 = 8,228.54 : x
  2. Step 2: Convert to fraction form
    8,486.48/12,642.22 = 8,228.54/x
  3. Step 3: Cross multiply
    8,486.48x = 12,642.22 × 8,228.54
  4. Step 4: Simplify right side
    8,486.48x = 104,027,012.96
  5. Step 5: Solve for x
    x = 104,027,012.96/8,486.48
  6. Step 6: Final answer
    x = 12,257.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.