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Finding the Fourth Proportional to 3,376.22, 5,064.31 and 911.29

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Solution

The fourth proportional to 3,376.22, 5,064.31 and 911.29 is: 1,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.22 : 5,064.31 = 911.29 : x
  2. Step 2: Convert to fraction form
    3,376.22/5,064.31 = 911.29/x
  3. Step 3: Cross multiply
    3,376.22x = 5,064.31 × 911.29
  4. Step 4: Simplify right side
    3,376.22x = 4,615,040.12
  5. Step 5: Solve for x
    x = 4,615,040.12/3,376.22
  6. Step 6: Final answer
    x = 1,366.93

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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.