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Finding the Fourth Proportional to 8,767.97, 13,142.21 and 6,681.09

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Solution

The fourth proportional to 8,767.97, 13,142.21 and 6,681.09 is: 10,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.97 : 13,142.21 = 6,681.09 : x
  2. Step 2: Convert to fraction form
    8,767.97/13,142.21 = 6,681.09/x
  3. Step 3: Cross multiply
    8,767.97x = 13,142.21 × 6,681.09
  4. Step 4: Simplify right side
    8,767.97x = 87,804,287.81
  5. Step 5: Solve for x
    x = 87,804,287.81/8,767.97
  6. Step 6: Final answer
    x = 10,014.21

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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.