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Finding the Fourth Proportional to 27,413, 41,126 and 8,945

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Solution

The fourth proportional to 27,413, 41,126 and 8,945 is: 13,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413 : 41,126 = 8,945 : x
  2. Step 2: Convert to fraction form
    27,413/41,126 = 8,945/x
  3. Step 3: Cross multiply
    27,413x = 41,126 × 8,945
  4. Step 4: Simplify right side
    27,413x = 367,872,070
  5. Step 5: Solve for x
    x = 367,872,070/27,413
  6. Step 6: Final answer
    x = 13,419.62

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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.