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Finding the Fourth Proportional to 27,397, 41,098.74 and 8,929

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Solution

The fourth proportional to 27,397, 41,098.74 and 8,929 is: 13,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,397 : 41,098.74 = 8,929 : x
  2. Step 2: Convert to fraction form
    27,397/41,098.74 = 8,929/x
  3. Step 3: Cross multiply
    27,397x = 41,098.74 × 8,929
  4. Step 4: Simplify right side
    27,397x = 366,970,649.46
  5. Step 5: Solve for x
    x = 366,970,649.46/27,397
  6. Step 6: Final answer
    x = 13,394.56

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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.