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Finding the Fourth Proportional to 12,069.27, 16,656.38 and 6,691.94

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Solution

The fourth proportional to 12,069.27, 16,656.38 and 6,691.94 is: 9,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.27 : 16,656.38 = 6,691.94 : x
  2. Step 2: Convert to fraction form
    12,069.27/16,656.38 = 6,691.94/x
  3. Step 3: Cross multiply
    12,069.27x = 16,656.38 × 6,691.94
  4. Step 4: Simplify right side
    12,069.27x = 111,463,508.53
  5. Step 5: Solve for x
    x = 111,463,508.53/12,069.27
  6. Step 6: Final answer
    x = 9,235.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.