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Finding the Fourth Proportional to 18,146.16, 27,223.02 and 5,665.68

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Solution

The fourth proportional to 18,146.16, 27,223.02 and 5,665.68 is: 8,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.16 : 27,223.02 = 5,665.68 : x
  2. Step 2: Convert to fraction form
    18,146.16/27,223.02 = 5,665.68/x
  3. Step 3: Cross multiply
    18,146.16x = 27,223.02 × 5,665.68
  4. Step 4: Simplify right side
    18,146.16x = 154,236,919.95
  5. Step 5: Solve for x
    x = 154,236,919.95/18,146.16
  6. Step 6: Final answer
    x = 8,499.70

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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.