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Finding the Fourth Proportional to 3,940.45, 5,909.86 and 1,475.21

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Solution

The fourth proportional to 3,940.45, 5,909.86 and 1,475.21 is: 2,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.45 : 5,909.86 = 1,475.21 : x
  2. Step 2: Convert to fraction form
    3,940.45/5,909.86 = 1,475.21/x
  3. Step 3: Cross multiply
    3,940.45x = 5,909.86 × 1,475.21
  4. Step 4: Simplify right side
    3,940.45x = 8,718,301.19
  5. Step 5: Solve for x
    x = 8,718,301.19/3,940.45
  6. Step 6: Final answer
    x = 2,212.52

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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.