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Finding the Fourth Proportional to 27,642, 41,469.48 and 9,174

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Solution

The fourth proportional to 27,642, 41,469.48 and 9,174 is: 13,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642 : 41,469.48 = 9,174 : x
  2. Step 2: Convert to fraction form
    27,642/41,469.48 = 9,174/x
  3. Step 3: Cross multiply
    27,642x = 41,469.48 × 9,174
  4. Step 4: Simplify right side
    27,642x = 380,441,009.52
  5. Step 5: Solve for x
    x = 380,441,009.52/27,642
  6. Step 6: Final answer
    x = 13,763.15

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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.