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Finding the Fourth Proportional to 8,046.78, 12,043.17 and 7,740.06

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Solution

The fourth proportional to 8,046.78, 12,043.17 and 7,740.06 is: 11,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.78 : 12,043.17 = 7,740.06 : x
  2. Step 2: Convert to fraction form
    8,046.78/12,043.17 = 7,740.06/x
  3. Step 3: Cross multiply
    8,046.78x = 12,043.17 × 7,740.06
  4. Step 4: Simplify right side
    8,046.78x = 93,214,858.39
  5. Step 5: Solve for x
    x = 93,214,858.39/8,046.78
  6. Step 6: Final answer
    x = 11,584.12

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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.