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Finding the Fourth Proportional to 10,602.25, 15,910.67 and 3,676.75

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Solution

The fourth proportional to 10,602.25, 15,910.67 and 3,676.75 is: 5,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.25 : 15,910.67 = 3,676.75 : x
  2. Step 2: Convert to fraction form
    10,602.25/15,910.67 = 3,676.75/x
  3. Step 3: Cross multiply
    10,602.25x = 15,910.67 × 3,676.75
  4. Step 4: Simplify right side
    10,602.25x = 58,499,555.92
  5. Step 5: Solve for x
    x = 58,499,555.92/10,602.25
  6. Step 6: Final answer
    x = 5,517.65

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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.