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Finding the Fourth Proportional to 12,118.17, 18,164.17 and 5,864.97

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Solution

The fourth proportional to 12,118.17, 18,164.17 and 5,864.97 is: 8,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.17 : 18,164.17 = 5,864.97 : x
  2. Step 2: Convert to fraction form
    12,118.17/18,164.17 = 5,864.97/x
  3. Step 3: Cross multiply
    12,118.17x = 18,164.17 × 5,864.97
  4. Step 4: Simplify right side
    12,118.17x = 106,532,312.12
  5. Step 5: Solve for x
    x = 106,532,312.12/12,118.17
  6. Step 6: Final answer
    x = 8,791.12

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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.