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Finding the Fourth Proportional to 12,036.96, 16,615.19 and 8,272.59

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Solution

The fourth proportional to 12,036.96, 16,615.19 and 8,272.59 is: 11,419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.96 : 16,615.19 = 8,272.59 : x
  2. Step 2: Convert to fraction form
    12,036.96/16,615.19 = 8,272.59/x
  3. Step 3: Cross multiply
    12,036.96x = 16,615.19 × 8,272.59
  4. Step 4: Simplify right side
    12,036.96x = 137,450,654.64
  5. Step 5: Solve for x
    x = 137,450,654.64/12,036.96
  6. Step 6: Final answer
    x = 11,419.05

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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.