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Finding the Fourth Proportional to 5,322.34, 7,984.32 and 3,243.88

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Solution

The fourth proportional to 5,322.34, 7,984.32 and 3,243.88 is: 4,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.34 : 7,984.32 = 3,243.88 : x
  2. Step 2: Convert to fraction form
    5,322.34/7,984.32 = 3,243.88/x
  3. Step 3: Cross multiply
    5,322.34x = 7,984.32 × 3,243.88
  4. Step 4: Simplify right side
    5,322.34x = 25,900,175.96
  5. Step 5: Solve for x
    x = 25,900,175.96/5,322.34
  6. Step 6: Final answer
    x = 4,866.31

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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.