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Finding the Fourth Proportional to 3,799.40, 5,693.70 and 2,643.80

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Solution

The fourth proportional to 3,799.40, 5,693.70 and 2,643.80 is: 3,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.40 : 5,693.70 = 2,643.80 : x
  2. Step 2: Convert to fraction form
    3,799.40/5,693.70 = 2,643.80/x
  3. Step 3: Cross multiply
    3,799.40x = 5,693.70 × 2,643.80
  4. Step 4: Simplify right side
    3,799.40x = 15,053,004.06
  5. Step 5: Solve for x
    x = 15,053,004.06/3,799.40
  6. Step 6: Final answer
    x = 3,961.94

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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.