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Finding the Fourth Proportional to 18,328, 27,492.18 and 4,477

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Solution

The fourth proportional to 18,328, 27,492.18 and 4,477 is: 6,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,328 : 27,492.18 = 4,477 : x
  2. Step 2: Convert to fraction form
    18,328/27,492.18 = 4,477/x
  3. Step 3: Cross multiply
    18,328x = 27,492.18 × 4,477
  4. Step 4: Simplify right side
    18,328x = 123,082,489.86
  5. Step 5: Solve for x
    x = 123,082,489.86/18,328
  6. Step 6: Final answer
    x = 6,715.54

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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.