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Finding the Fourth Proportional to 20,449.90, 30,674 and 6,409.62

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Solution

The fourth proportional to 20,449.90, 30,674 and 6,409.62 is: 9,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.90 : 30,674 = 6,409.62 : x
  2. Step 2: Convert to fraction form
    20,449.90/30,674 = 6,409.62/x
  3. Step 3: Cross multiply
    20,449.90x = 30,674 × 6,409.62
  4. Step 4: Simplify right side
    20,449.90x = 196,608,683.88
  5. Step 5: Solve for x
    x = 196,608,683.88/20,449.90
  6. Step 6: Final answer
    x = 9,614.16

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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.