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Finding the Fourth Proportional to 27,760, 41,647.20 and 9,990.04

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Solution

The fourth proportional to 27,760, 41,647.20 and 9,990.04 is: 14,987.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760 : 41,647.20 = 9,990.04 : x
  2. Step 2: Convert to fraction form
    27,760/41,647.20 = 9,990.04/x
  3. Step 3: Cross multiply
    27,760x = 41,647.20 × 9,990.04
  4. Step 4: Simplify right side
    27,760x = 416,057,193.89
  5. Step 5: Solve for x
    x = 416,057,193.89/27,760
  6. Step 6: Final answer
    x = 14,987.65

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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.