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Finding the Fourth Proportional to 7,221.62, 10,832.81 and 2,291.64

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Solution

The fourth proportional to 7,221.62, 10,832.81 and 2,291.64 is: 3,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.62 : 10,832.81 = 2,291.64 : x
  2. Step 2: Convert to fraction form
    7,221.62/10,832.81 = 2,291.64/x
  3. Step 3: Cross multiply
    7,221.62x = 10,832.81 × 2,291.64
  4. Step 4: Simplify right side
    7,221.62x = 24,824,889.25
  5. Step 5: Solve for x
    x = 24,824,889.25/7,221.62
  6. Step 6: Final answer
    x = 3,437.58

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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.