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Finding the Fourth Proportional to 18,388.12, 27,577.68 and 8,518

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Solution

The fourth proportional to 18,388.12, 27,577.68 and 8,518 is: 12,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,388.12 : 27,577.68 = 8,518 : x
  2. Step 2: Convert to fraction form
    18,388.12/27,577.68 = 8,518/x
  3. Step 3: Cross multiply
    18,388.12x = 27,577.68 × 8,518
  4. Step 4: Simplify right side
    18,388.12x = 234,906,678.24
  5. Step 5: Solve for x
    x = 234,906,678.24/18,388.12
  6. Step 6: Final answer
    x = 12,774.92

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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.