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Finding the Fourth Proportional to 27,758, 41,644.20 and 9,988.04

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Solution

The fourth proportional to 27,758, 41,644.20 and 9,988.04 is: 14,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,758 : 41,644.20 = 9,988.04 : x
  2. Step 2: Convert to fraction form
    27,758/41,644.20 = 9,988.04/x
  3. Step 3: Cross multiply
    27,758x = 41,644.20 × 9,988.04
  4. Step 4: Simplify right side
    27,758x = 415,943,935.37
  5. Step 5: Solve for x
    x = 415,943,935.37/27,758
  6. Step 6: Final answer
    x = 14,984.65

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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.