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Finding the Fourth Proportional to 8,128.83, 12,192.17 and 3,197.15

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Solution

The fourth proportional to 8,128.83, 12,192.17 and 3,197.15 is: 4,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.83 : 12,192.17 = 3,197.15 : x
  2. Step 2: Convert to fraction form
    8,128.83/12,192.17 = 3,197.15/x
  3. Step 3: Cross multiply
    8,128.83x = 12,192.17 × 3,197.15
  4. Step 4: Simplify right side
    8,128.83x = 38,980,119.37
  5. Step 5: Solve for x
    x = 38,980,119.37/8,128.83
  6. Step 6: Final answer
    x = 4,795.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.