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Finding the Fourth Proportional to 18,920.22, 28,354.57 and 8,923.41

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Solution

The fourth proportional to 18,920.22, 28,354.57 and 8,923.41 is: 13,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920.22 : 28,354.57 = 8,923.41 : x
  2. Step 2: Convert to fraction form
    18,920.22/28,354.57 = 8,923.41/x
  3. Step 3: Cross multiply
    18,920.22x = 28,354.57 × 8,923.41
  4. Step 4: Simplify right side
    18,920.22x = 253,019,433.12
  5. Step 5: Solve for x
    x = 253,019,433.12/18,920.22
  6. Step 6: Final answer
    x = 13,372.96

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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.