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Finding the Fourth Proportional to 3,702.86, 5,100.36 and 2,581.79

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Solution

The fourth proportional to 3,702.86, 5,100.36 and 2,581.79 is: 3,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.86 : 5,100.36 = 2,581.79 : x
  2. Step 2: Convert to fraction form
    3,702.86/5,100.36 = 2,581.79/x
  3. Step 3: Cross multiply
    3,702.86x = 5,100.36 × 2,581.79
  4. Step 4: Simplify right side
    3,702.86x = 13,168,058.44
  5. Step 5: Solve for x
    x = 13,168,058.44/3,702.86
  6. Step 6: Final answer
    x = 3,556.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.