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Finding the Fourth Proportional to 8,505, 12,755.07 and 3,575.75

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Solution

The fourth proportional to 8,505, 12,755.07 and 3,575.75 is: 5,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505 : 12,755.07 = 3,575.75 : x
  2. Step 2: Convert to fraction form
    8,505/12,755.07 = 3,575.75/x
  3. Step 3: Cross multiply
    8,505x = 12,755.07 × 3,575.75
  4. Step 4: Simplify right side
    8,505x = 45,608,877.78
  5. Step 5: Solve for x
    x = 45,608,877.78/8,505
  6. Step 6: Final answer
    x = 5,362.60

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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.