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Finding the Fourth Proportional to 18,835.78, 28,266.60 and 6,523.78

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Solution

The fourth proportional to 18,835.78, 28,266.60 and 6,523.78 is: 9,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,835.78 : 28,266.60 = 6,523.78 : x
  2. Step 2: Convert to fraction form
    18,835.78/28,266.60 = 6,523.78/x
  3. Step 3: Cross multiply
    18,835.78x = 28,266.60 × 6,523.78
  4. Step 4: Simplify right side
    18,835.78x = 184,405,079.75
  5. Step 5: Solve for x
    x = 184,405,079.75/18,835.78
  6. Step 6: Final answer
    x = 9,790.15

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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.