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Finding the Fourth Proportional to 22,032.96, 30,405.50 and 11,961.39

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Solution

The fourth proportional to 22,032.96, 30,405.50 and 11,961.39 is: 16,506.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032.96 : 30,405.50 = 11,961.39 : x
  2. Step 2: Convert to fraction form
    22,032.96/30,405.50 = 11,961.39/x
  3. Step 3: Cross multiply
    22,032.96x = 30,405.50 × 11,961.39
  4. Step 4: Simplify right side
    22,032.96x = 363,691,983.84
  5. Step 5: Solve for x
    x = 363,691,983.84/22,032.96
  6. Step 6: Final answer
    x = 16,506.72

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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.