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Finding the Fourth Proportional to 10,775.78, 16,163.67 and 3,380.84

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Solution

The fourth proportional to 10,775.78, 16,163.67 and 3,380.84 is: 5,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.78 : 16,163.67 = 3,380.84 : x
  2. Step 2: Convert to fraction form
    10,775.78/16,163.67 = 3,380.84/x
  3. Step 3: Cross multiply
    10,775.78x = 16,163.67 × 3,380.84
  4. Step 4: Simplify right side
    10,775.78x = 54,646,782.08
  5. Step 5: Solve for x
    x = 54,646,782.08/10,775.78
  6. Step 6: Final answer
    x = 5,071.26

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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.