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Finding the Fourth Proportional to 20,581.26, 30,871.88 and 7,433.64

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Solution

The fourth proportional to 20,581.26, 30,871.88 and 7,433.64 is: 11,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.26 : 30,871.88 = 7,433.64 : x
  2. Step 2: Convert to fraction form
    20,581.26/30,871.88 = 7,433.64/x
  3. Step 3: Cross multiply
    20,581.26x = 30,871.88 × 7,433.64
  4. Step 4: Simplify right side
    20,581.26x = 229,490,404.88
  5. Step 5: Solve for x
    x = 229,490,404.88/20,581.26
  6. Step 6: Final answer
    x = 11,150.45

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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.