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Finding the Fourth Proportional to 27,870, 41,805 and 9,402

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Solution

The fourth proportional to 27,870, 41,805 and 9,402 is: 14,103

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870 : 41,805 = 9,402 : x
  2. Step 2: Convert to fraction form
    27,870/41,805 = 9,402/x
  3. Step 3: Cross multiply
    27,870x = 41,805 × 9,402
  4. Step 4: Simplify right side
    27,870x = 393,050,610
  5. Step 5: Solve for x
    x = 393,050,610/27,870
  6. Step 6: Final answer
    x = 14,103

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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.