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Finding the Fourth Proportional to 27,873, 41,809.50 and 9,405

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Solution

The fourth proportional to 27,873, 41,809.50 and 9,405 is: 14,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,873 : 41,809.50 = 9,405 : x
  2. Step 2: Convert to fraction form
    27,873/41,809.50 = 9,405/x
  3. Step 3: Cross multiply
    27,873x = 41,809.50 × 9,405
  4. Step 4: Simplify right side
    27,873x = 393,218,347.50
  5. Step 5: Solve for x
    x = 393,218,347.50/27,873
  6. Step 6: Final answer
    x = 14,107.50

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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.