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Finding the Fourth Proportional to 8,577.42, 12,865.99 and 3,383.34

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Solution

The fourth proportional to 8,577.42, 12,865.99 and 3,383.34 is: 5,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.42 : 12,865.99 = 3,383.34 : x
  2. Step 2: Convert to fraction form
    8,577.42/12,865.99 = 3,383.34/x
  3. Step 3: Cross multiply
    8,577.42x = 12,865.99 × 3,383.34
  4. Step 4: Simplify right side
    8,577.42x = 43,530,018.61
  5. Step 5: Solve for x
    x = 43,530,018.61/8,577.42
  6. Step 6: Final answer
    x = 5,074.95

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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.