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Finding the Fourth Proportional to 18,523.88, 27,788.70 and 6,209

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Solution

The fourth proportional to 18,523.88, 27,788.70 and 6,209 is: 9,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.88 : 27,788.70 = 6,209 : x
  2. Step 2: Convert to fraction form
    18,523.88/27,788.70 = 6,209/x
  3. Step 3: Cross multiply
    18,523.88x = 27,788.70 × 6,209
  4. Step 4: Simplify right side
    18,523.88x = 172,540,038.30
  5. Step 5: Solve for x
    x = 172,540,038.30/18,523.88
  6. Step 6: Final answer
    x = 9,314.47

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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.