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Finding the Fourth Proportional to 28,245.78, 42,368.98 and 8,524.52

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Solution

The fourth proportional to 28,245.78, 42,368.98 and 8,524.52 is: 12,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,245.78 : 42,368.98 = 8,524.52 : x
  2. Step 2: Convert to fraction form
    28,245.78/42,368.98 = 8,524.52/x
  3. Step 3: Cross multiply
    28,245.78x = 42,368.98 × 8,524.52
  4. Step 4: Simplify right side
    28,245.78x = 361,175,217.39
  5. Step 5: Solve for x
    x = 361,175,217.39/28,245.78
  6. Step 6: Final answer
    x = 12,786.87

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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.