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Finding the Fourth Proportional to 18,084, 27,130.56 and 5,772

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Solution

The fourth proportional to 18,084, 27,130.56 and 5,772 is: 8,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084 : 27,130.56 = 5,772 : x
  2. Step 2: Convert to fraction form
    18,084/27,130.56 = 5,772/x
  3. Step 3: Cross multiply
    18,084x = 27,130.56 × 5,772
  4. Step 4: Simplify right side
    18,084x = 156,597,592.32
  5. Step 5: Solve for x
    x = 156,597,592.32/18,084
  6. Step 6: Final answer
    x = 8,659.46

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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.