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Finding the Fourth Proportional to 18,522.46, 27,782.70 and 5,196.37

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Solution

The fourth proportional to 18,522.46, 27,782.70 and 5,196.37 is: 7,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522.46 : 27,782.70 = 5,196.37 : x
  2. Step 2: Convert to fraction form
    18,522.46/27,782.70 = 5,196.37/x
  3. Step 3: Cross multiply
    18,522.46x = 27,782.70 × 5,196.37
  4. Step 4: Simplify right side
    18,522.46x = 144,369,181.18
  5. Step 5: Solve for x
    x = 144,369,181.18/18,522.46
  6. Step 6: Final answer
    x = 7,794.28

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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.