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Finding the Fourth Proportional to 21,857.78, 32,786.68 and 9,369.74

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Solution

The fourth proportional to 21,857.78, 32,786.68 and 9,369.74 is: 14,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.78 : 32,786.68 = 9,369.74 : x
  2. Step 2: Convert to fraction form
    21,857.78/32,786.68 = 9,369.74/x
  3. Step 3: Cross multiply
    21,857.78x = 32,786.68 × 9,369.74
  4. Step 4: Simplify right side
    21,857.78x = 307,202,667.06
  5. Step 5: Solve for x
    x = 307,202,667.06/21,857.78
  6. Step 6: Final answer
    x = 14,054.61

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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.