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Finding the Fourth Proportional to 18,790.38, 28,188 and 5,644.08

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Solution

The fourth proportional to 18,790.38, 28,188 and 5,644.08 is: 8,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,790.38 : 28,188 = 5,644.08 : x
  2. Step 2: Convert to fraction form
    18,790.38/28,188 = 5,644.08/x
  3. Step 3: Cross multiply
    18,790.38x = 28,188 × 5,644.08
  4. Step 4: Simplify right side
    18,790.38x = 159,095,327.04
  5. Step 5: Solve for x
    x = 159,095,327.04/18,790.38
  6. Step 6: Final answer
    x = 8,466.85

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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.