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Finding the Fourth Proportional to 2,341.08, 3,512.50 and 1,092.31

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Solution

The fourth proportional to 2,341.08, 3,512.50 and 1,092.31 is: 1,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.08 : 3,512.50 = 1,092.31 : x
  2. Step 2: Convert to fraction form
    2,341.08/3,512.50 = 1,092.31/x
  3. Step 3: Cross multiply
    2,341.08x = 3,512.50 × 1,092.31
  4. Step 4: Simplify right side
    2,341.08x = 3,836,738.88
  5. Step 5: Solve for x
    x = 3,836,738.88/2,341.08
  6. Step 6: Final answer
    x = 1,638.88

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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.