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Finding the Fourth Proportional to 12,255.50, 18,354 and 7,050.44

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Solution

The fourth proportional to 12,255.50, 18,354 and 7,050.44 is: 10,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.50 : 18,354 = 7,050.44 : x
  2. Step 2: Convert to fraction form
    12,255.50/18,354 = 7,050.44/x
  3. Step 3: Cross multiply
    12,255.50x = 18,354 × 7,050.44
  4. Step 4: Simplify right side
    12,255.50x = 129,403,775.76
  5. Step 5: Solve for x
    x = 129,403,775.76/12,255.50
  6. Step 6: Final answer
    x = 10,558.83

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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.