Home / 7,291-10,938.32-2,096.88

Finding the Fourth Proportional to 7,291, 10,938.32 and 2,096.88

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Solution

The fourth proportional to 7,291, 10,938.32 and 2,096.88 is: 3,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291 : 10,938.32 = 2,096.88 : x
  2. Step 2: Convert to fraction form
    7,291/10,938.32 = 2,096.88/x
  3. Step 3: Cross multiply
    7,291x = 10,938.32 × 2,096.88
  4. Step 4: Simplify right side
    7,291x = 22,936,344.44
  5. Step 5: Solve for x
    x = 22,936,344.44/7,291
  6. Step 6: Final answer
    x = 3,145.84

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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.