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Finding the Fourth Proportional to 27,406.50, 41,085.09 and 9,864

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Solution

The fourth proportional to 27,406.50, 41,085.09 and 9,864 is: 14,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406.50 : 41,085.09 = 9,864 : x
  2. Step 2: Convert to fraction form
    27,406.50/41,085.09 = 9,864/x
  3. Step 3: Cross multiply
    27,406.50x = 41,085.09 × 9,864
  4. Step 4: Simplify right side
    27,406.50x = 405,263,327.76
  5. Step 5: Solve for x
    x = 405,263,327.76/27,406.50
  6. Step 6: Final answer
    x = 14,787.12

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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.