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Finding the Fourth Proportional to 18,278.70, 27,396 and 8,404.44

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Solution

The fourth proportional to 18,278.70, 27,396 and 8,404.44 is: 12,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.70 : 27,396 = 8,404.44 : x
  2. Step 2: Convert to fraction form
    18,278.70/27,396 = 8,404.44/x
  3. Step 3: Cross multiply
    18,278.70x = 27,396 × 8,404.44
  4. Step 4: Simplify right side
    18,278.70x = 230,248,038.24
  5. Step 5: Solve for x
    x = 230,248,038.24/18,278.70
  6. Step 6: Final answer
    x = 12,596.52

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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.