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Finding the Fourth Proportional to 3,838.94, 5,759.14 and 2,657.96

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Solution

The fourth proportional to 3,838.94, 5,759.14 and 2,657.96 is: 3,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.94 : 5,759.14 = 2,657.96 : x
  2. Step 2: Convert to fraction form
    3,838.94/5,759.14 = 2,657.96/x
  3. Step 3: Cross multiply
    3,838.94x = 5,759.14 × 2,657.96
  4. Step 4: Simplify right side
    3,838.94x = 15,307,563.75
  5. Step 5: Solve for x
    x = 15,307,563.75/3,838.94
  6. Step 6: Final answer
    x = 3,987.45

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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.