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Finding the Fourth Proportional to 2,093, 3,138.92 and 631.76

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Solution

The fourth proportional to 2,093, 3,138.92 and 631.76 is: 947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093 : 3,138.92 = 631.76 : x
  2. Step 2: Convert to fraction form
    2,093/3,138.92 = 631.76/x
  3. Step 3: Cross multiply
    2,093x = 3,138.92 × 631.76
  4. Step 4: Simplify right side
    2,093x = 1,983,044.10
  5. Step 5: Solve for x
    x = 1,983,044.10/2,093
  6. Step 6: Final answer
    x = 947.46

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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.