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Finding the Fourth Proportional to 8,181, 12,327.19 and 7,285.85

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Solution

The fourth proportional to 8,181, 12,327.19 and 7,285.85 is: 10,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181 : 12,327.19 = 7,285.85 : x
  2. Step 2: Convert to fraction form
    8,181/12,327.19 = 7,285.85/x
  3. Step 3: Cross multiply
    8,181x = 12,327.19 × 7,285.85
  4. Step 4: Simplify right side
    8,181x = 89,814,023.64
  5. Step 5: Solve for x
    x = 89,814,023.64/8,181
  6. Step 6: Final answer
    x = 10,978.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.