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Finding the Fourth Proportional to 21,822.44, 32,713.34 and 7,961

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Solution

The fourth proportional to 21,822.44, 32,713.34 and 7,961 is: 11,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822.44 : 32,713.34 = 7,961 : x
  2. Step 2: Convert to fraction form
    21,822.44/32,713.34 = 7,961/x
  3. Step 3: Cross multiply
    21,822.44x = 32,713.34 × 7,961
  4. Step 4: Simplify right side
    21,822.44x = 260,430,899.74
  5. Step 5: Solve for x
    x = 260,430,899.74/21,822.44
  6. Step 6: Final answer
    x = 11,934.09

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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.