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Finding the Fourth Proportional to 27,406, 41,110.35 and 8,938

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Solution

The fourth proportional to 27,406, 41,110.35 and 8,938 is: 13,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406 : 41,110.35 = 8,938 : x
  2. Step 2: Convert to fraction form
    27,406/41,110.35 = 8,938/x
  3. Step 3: Cross multiply
    27,406x = 41,110.35 × 8,938
  4. Step 4: Simplify right side
    27,406x = 367,444,308.30
  5. Step 5: Solve for x
    x = 367,444,308.30/27,406
  6. Step 6: Final answer
    x = 13,407.44

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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.