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Finding the Fourth Proportional to 21,927.82, 32,891.66 and 7,887.82

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Solution

The fourth proportional to 21,927.82, 32,891.66 and 7,887.82 is: 11,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.82 : 32,891.66 = 7,887.82 : x
  2. Step 2: Convert to fraction form
    21,927.82/32,891.66 = 7,887.82/x
  3. Step 3: Cross multiply
    21,927.82x = 32,891.66 × 7,887.82
  4. Step 4: Simplify right side
    21,927.82x = 259,443,493.58
  5. Step 5: Solve for x
    x = 259,443,493.58/21,927.82
  6. Step 6: Final answer
    x = 11,831.70

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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.