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Finding the Fourth Proportional to 10,665, 15,998.82 and 3,645.72

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Solution

The fourth proportional to 10,665, 15,998.82 and 3,645.72 is: 5,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665 : 15,998.82 = 3,645.72 : x
  2. Step 2: Convert to fraction form
    10,665/15,998.82 = 3,645.72/x
  3. Step 3: Cross multiply
    10,665x = 15,998.82 × 3,645.72
  4. Step 4: Simplify right side
    10,665x = 58,327,218.05
  5. Step 5: Solve for x
    x = 58,327,218.05/10,665
  6. Step 6: Final answer
    x = 5,469.03

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1.5x scale

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.