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Finding the Fourth Proportional to 21,881.11, 32,814.78 and 7,086.61

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Solution

The fourth proportional to 21,881.11, 32,814.78 and 7,086.61 is: 10,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.11 : 32,814.78 = 7,086.61 : x
  2. Step 2: Convert to fraction form
    21,881.11/32,814.78 = 7,086.61/x
  3. Step 3: Cross multiply
    21,881.11x = 32,814.78 × 7,086.61
  4. Step 4: Simplify right side
    21,881.11x = 232,545,548.10
  5. Step 5: Solve for x
    x = 232,545,548.10/21,881.11
  6. Step 6: Final answer
    x = 10,627.69

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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.