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Finding the Fourth Proportional to 2,092.92, 3,138.18 and 631.64

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Solution

The fourth proportional to 2,092.92, 3,138.18 and 631.64 is: 947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.92 : 3,138.18 = 631.64 : x
  2. Step 2: Convert to fraction form
    2,092.92/3,138.18 = 631.64/x
  3. Step 3: Cross multiply
    2,092.92x = 3,138.18 × 631.64
  4. Step 4: Simplify right side
    2,092.92x = 1,982,200.02
  5. Step 5: Solve for x
    x = 1,982,200.02/2,092.92
  6. Step 6: Final answer
    x = 947.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.