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Finding the Fourth Proportional to 12,022.80, 16,590.72 and 6,717.48

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Solution

The fourth proportional to 12,022.80, 16,590.72 and 6,717.48 is: 9,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.80 : 16,590.72 = 6,717.48 : x
  2. Step 2: Convert to fraction form
    12,022.80/16,590.72 = 6,717.48/x
  3. Step 3: Cross multiply
    12,022.80x = 16,590.72 × 6,717.48
  4. Step 4: Simplify right side
    12,022.80x = 111,447,829.79
  5. Step 5: Solve for x
    x = 111,447,829.79/12,022.80
  6. Step 6: Final answer
    x = 9,269.71

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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.