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Finding the Fourth Proportional to 12,022.53, 16,590.79 and 6,717.39

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Solution

The fourth proportional to 12,022.53, 16,590.79 and 6,717.39 is: 9,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.53 : 16,590.79 = 6,717.39 : x
  2. Step 2: Convert to fraction form
    12,022.53/16,590.79 = 6,717.39/x
  3. Step 3: Cross multiply
    12,022.53x = 16,590.79 × 6,717.39
  4. Step 4: Simplify right side
    12,022.53x = 111,446,773.25
  5. Step 5: Solve for x
    x = 111,446,773.25/12,022.53
  6. Step 6: Final answer
    x = 9,269.83

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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.