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Finding the Fourth Proportional to 27,998.78, 41,998.09 and 9,278.87

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Solution

The fourth proportional to 27,998.78, 41,998.09 and 9,278.87 is: 13,918.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.78 : 41,998.09 = 9,278.87 : x
  2. Step 2: Convert to fraction form
    27,998.78/41,998.09 = 9,278.87/x
  3. Step 3: Cross multiply
    27,998.78x = 41,998.09 × 9,278.87
  4. Step 4: Simplify right side
    27,998.78x = 389,694,817.36
  5. Step 5: Solve for x
    x = 389,694,817.36/27,998.78
  6. Step 6: Final answer
    x = 13,918.28

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1.5x scale

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.