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Finding the Fourth Proportional to 18,136.64, 27,187.68 and 5,816

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Solution

The fourth proportional to 18,136.64, 27,187.68 and 5,816 is: 8,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,136.64 : 27,187.68 = 5,816 : x
  2. Step 2: Convert to fraction form
    18,136.64/27,187.68 = 5,816/x
  3. Step 3: Cross multiply
    18,136.64x = 27,187.68 × 5,816
  4. Step 4: Simplify right side
    18,136.64x = 158,123,546.88
  5. Step 5: Solve for x
    x = 158,123,546.88/18,136.64
  6. Step 6: Final answer
    x = 8,718.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.