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Finding the Fourth Proportional to 12,486.73, 18,733.24 and 5,911.15

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Solution

The fourth proportional to 12,486.73, 18,733.24 and 5,911.15 is: 8,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.73 : 18,733.24 = 5,911.15 : x
  2. Step 2: Convert to fraction form
    12,486.73/18,733.24 = 5,911.15/x
  3. Step 3: Cross multiply
    12,486.73x = 18,733.24 × 5,911.15
  4. Step 4: Simplify right side
    12,486.73x = 110,734,991.63
  5. Step 5: Solve for x
    x = 110,734,991.63/12,486.73
  6. Step 6: Final answer
    x = 8,868.21

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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.