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Finding the Fourth Proportional to 18,834.78, 28,265.10 and 6,522.78

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Solution

The fourth proportional to 18,834.78, 28,265.10 and 6,522.78 is: 9,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,834.78 : 28,265.10 = 6,522.78 : x
  2. Step 2: Convert to fraction form
    18,834.78/28,265.10 = 6,522.78/x
  3. Step 3: Cross multiply
    18,834.78x = 28,265.10 × 6,522.78
  4. Step 4: Simplify right side
    18,834.78x = 184,367,028.98
  5. Step 5: Solve for x
    x = 184,367,028.98/18,834.78
  6. Step 6: Final answer
    x = 9,788.65

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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.