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Finding the Fourth Proportional to 16,820.22, 23,212.44 and 9,266.70

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Solution

The fourth proportional to 16,820.22, 23,212.44 and 9,266.70 is: 12,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.22 : 23,212.44 = 9,266.70 : x
  2. Step 2: Convert to fraction form
    16,820.22/23,212.44 = 9,266.70/x
  3. Step 3: Cross multiply
    16,820.22x = 23,212.44 × 9,266.70
  4. Step 4: Simplify right side
    16,820.22x = 215,102,717.75
  5. Step 5: Solve for x
    x = 215,102,717.75/16,820.22
  6. Step 6: Final answer
    x = 12,788.34

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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.