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Finding the Fourth Proportional to 3,799.71, 5,702.49 and 2,637.86

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Solution

The fourth proportional to 3,799.71, 5,702.49 and 2,637.86 is: 3,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.71 : 5,702.49 = 2,637.86 : x
  2. Step 2: Convert to fraction form
    3,799.71/5,702.49 = 2,637.86/x
  3. Step 3: Cross multiply
    3,799.71x = 5,702.49 × 2,637.86
  4. Step 4: Simplify right side
    3,799.71x = 15,042,341.76
  5. Step 5: Solve for x
    x = 15,042,341.76/3,799.71
  6. Step 6: Final answer
    x = 3,958.81

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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.