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Finding the Fourth Proportional to 21,571.62, 29,768.10 and 12,138.36

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Solution

The fourth proportional to 21,571.62, 29,768.10 and 12,138.36 is: 16,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.62 : 29,768.10 = 12,138.36 : x
  2. Step 2: Convert to fraction form
    21,571.62/29,768.10 = 12,138.36/x
  3. Step 3: Cross multiply
    21,571.62x = 29,768.10 × 12,138.36
  4. Step 4: Simplify right side
    21,571.62x = 361,335,914.32
  5. Step 5: Solve for x
    x = 361,335,914.32/21,571.62
  6. Step 6: Final answer
    x = 16,750.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.