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Finding the Fourth Proportional to 5,719.68, 7,891.40 and 3,729.50

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Solution

The fourth proportional to 5,719.68, 7,891.40 and 3,729.50 is: 5,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.68 : 7,891.40 = 3,729.50 : x
  2. Step 2: Convert to fraction form
    5,719.68/7,891.40 = 3,729.50/x
  3. Step 3: Cross multiply
    5,719.68x = 7,891.40 × 3,729.50
  4. Step 4: Simplify right side
    5,719.68x = 29,430,976.30
  5. Step 5: Solve for x
    x = 29,430,976.30/5,719.68
  6. Step 6: Final answer
    x = 5,145.56

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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.