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Finding the Fourth Proportional to 12,197.08, 16,829.16 and 7,161.04

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Solution

The fourth proportional to 12,197.08, 16,829.16 and 7,161.04 is: 9,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.08 : 16,829.16 = 7,161.04 : x
  2. Step 2: Convert to fraction form
    12,197.08/16,829.16 = 7,161.04/x
  3. Step 3: Cross multiply
    12,197.08x = 16,829.16 × 7,161.04
  4. Step 4: Simplify right side
    12,197.08x = 120,514,287.93
  5. Step 5: Solve for x
    x = 120,514,287.93/12,197.08
  6. Step 6: Final answer
    x = 9,880.59

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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.