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Finding the Fourth Proportional to 8,134.20, 12,186.72 and 7,696.80

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Solution

The fourth proportional to 8,134.20, 12,186.72 and 7,696.80 is: 11,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.20 : 12,186.72 = 7,696.80 : x
  2. Step 2: Convert to fraction form
    8,134.20/12,186.72 = 7,696.80/x
  3. Step 3: Cross multiply
    8,134.20x = 12,186.72 × 7,696.80
  4. Step 4: Simplify right side
    8,134.20x = 93,798,746.50
  5. Step 5: Solve for x
    x = 93,798,746.50/8,134.20
  6. Step 6: Final answer
    x = 11,531.40

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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.