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Finding the Fourth Proportional to 18,645.29, 27,978.18 and 8,784.31

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Solution

The fourth proportional to 18,645.29, 27,978.18 and 8,784.31 is: 13,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.29 : 27,978.18 = 8,784.31 : x
  2. Step 2: Convert to fraction form
    18,645.29/27,978.18 = 8,784.31/x
  3. Step 3: Cross multiply
    18,645.29x = 27,978.18 × 8,784.31
  4. Step 4: Simplify right side
    18,645.29x = 245,769,008.39
  5. Step 5: Solve for x
    x = 245,769,008.39/18,645.29
  6. Step 6: Final answer
    x = 13,181.30

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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.