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Finding the Fourth Proportional to 2,092.94, 3,138.44 and 631.82

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Solution

The fourth proportional to 2,092.94, 3,138.44 and 631.82 is: 947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.94 : 3,138.44 = 631.82 : x
  2. Step 2: Convert to fraction form
    2,092.94/3,138.44 = 631.82/x
  3. Step 3: Cross multiply
    2,092.94x = 3,138.44 × 631.82
  4. Step 4: Simplify right side
    2,092.94x = 1,982,929.16
  5. Step 5: Solve for x
    x = 1,982,929.16/2,092.94
  6. Step 6: Final answer
    x = 947.44

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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.