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Finding the Fourth Proportional to 2,142.77, 3,214.62 and 911.23

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Solution

The fourth proportional to 2,142.77, 3,214.62 and 911.23 is: 1,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.77 : 3,214.62 = 911.23 : x
  2. Step 2: Convert to fraction form
    2,142.77/3,214.62 = 911.23/x
  3. Step 3: Cross multiply
    2,142.77x = 3,214.62 × 911.23
  4. Step 4: Simplify right side
    2,142.77x = 2,929,258.18
  5. Step 5: Solve for x
    x = 2,929,258.18/2,142.77
  6. Step 6: Final answer
    x = 1,367.04

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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.