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Finding the Fourth Proportional to 11,691.52, 16,129.16 and 6,973.06

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Solution

The fourth proportional to 11,691.52, 16,129.16 and 6,973.06 is: 9,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.52 : 16,129.16 = 6,973.06 : x
  2. Step 2: Convert to fraction form
    11,691.52/16,129.16 = 6,973.06/x
  3. Step 3: Cross multiply
    11,691.52x = 16,129.16 × 6,973.06
  4. Step 4: Simplify right side
    11,691.52x = 112,469,600.43
  5. Step 5: Solve for x
    x = 112,469,600.43/11,691.52
  6. Step 6: Final answer
    x = 9,619.76

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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.