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Finding the Fourth Proportional to 3,376.16, 5,063.86 and 911.22

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Solution

The fourth proportional to 3,376.16, 5,063.86 and 911.22 is: 1,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.16 : 5,063.86 = 911.22 : x
  2. Step 2: Convert to fraction form
    3,376.16/5,063.86 = 911.22/x
  3. Step 3: Cross multiply
    3,376.16x = 5,063.86 × 911.22
  4. Step 4: Simplify right side
    3,376.16x = 4,614,290.51
  5. Step 5: Solve for x
    x = 4,614,290.51/3,376.16
  6. Step 6: Final answer
    x = 1,366.73

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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.