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Finding the Fourth Proportional to 21,954.75, 32,932.20 and 5,314.75

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Solution

The fourth proportional to 21,954.75, 32,932.20 and 5,314.75 is: 7,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.75 : 32,932.20 = 5,314.75 : x
  2. Step 2: Convert to fraction form
    21,954.75/32,932.20 = 5,314.75/x
  3. Step 3: Cross multiply
    21,954.75x = 32,932.20 × 5,314.75
  4. Step 4: Simplify right side
    21,954.75x = 175,026,327.62
  5. Step 5: Solve for x
    x = 175,026,327.62/21,954.75
  6. Step 6: Final answer
    x = 7,972.14

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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.