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Finding the Fourth Proportional to 18,082.64, 27,121.16 and 4,936.08

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Solution

The fourth proportional to 18,082.64, 27,121.16 and 4,936.08 is: 7,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.64 : 27,121.16 = 4,936.08 : x
  2. Step 2: Convert to fraction form
    18,082.64/27,121.16 = 4,936.08/x
  3. Step 3: Cross multiply
    18,082.64x = 27,121.16 × 4,936.08
  4. Step 4: Simplify right side
    18,082.64x = 133,872,215.45
  5. Step 5: Solve for x
    x = 133,872,215.45/18,082.64
  6. Step 6: Final answer
    x = 7,403.36

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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.