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Finding the Fourth Proportional to 21,761.60, 32,653.20 and 12,408.80

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Solution

The fourth proportional to 21,761.60, 32,653.20 and 12,408.80 is: 18,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.60 : 32,653.20 = 12,408.80 : x
  2. Step 2: Convert to fraction form
    21,761.60/32,653.20 = 12,408.80/x
  3. Step 3: Cross multiply
    21,761.60x = 32,653.20 × 12,408.80
  4. Step 4: Simplify right side
    21,761.60x = 405,187,028.16
  5. Step 5: Solve for x
    x = 405,187,028.16/21,761.60
  6. Step 6: Final answer
    x = 18,619.36

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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.