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Finding the Fourth Proportional to 18,836.50, 28,259.79 and 6,524.50

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Solution

The fourth proportional to 18,836.50, 28,259.79 and 6,524.50 is: 9,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,836.50 : 28,259.79 = 6,524.50 : x
  2. Step 2: Convert to fraction form
    18,836.50/28,259.79 = 6,524.50/x
  3. Step 3: Cross multiply
    18,836.50x = 28,259.79 × 6,524.50
  4. Step 4: Simplify right side
    18,836.50x = 184,380,999.86
  5. Step 5: Solve for x
    x = 184,380,999.86/18,836.50
  6. Step 6: Final answer
    x = 9,788.50

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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.