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Finding the Fourth Proportional to 8,112.38, 12,163.10 and 6,526.80

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Solution

The fourth proportional to 8,112.38, 12,163.10 and 6,526.80 is: 9,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.38 : 12,163.10 = 6,526.80 : x
  2. Step 2: Convert to fraction form
    8,112.38/12,163.10 = 6,526.80/x
  3. Step 3: Cross multiply
    8,112.38x = 12,163.10 × 6,526.80
  4. Step 4: Simplify right side
    8,112.38x = 79,386,088.45
  5. Step 5: Solve for x
    x = 79,386,088.45/8,112.38
  6. Step 6: Final answer
    x = 9,785.80

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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.