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Finding the Fourth Proportional to 21,976.12, 32,969.76 and 6,393.74

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Solution

The fourth proportional to 21,976.12, 32,969.76 and 6,393.74 is: 9,592.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.12 : 32,969.76 = 6,393.74 : x
  2. Step 2: Convert to fraction form
    21,976.12/32,969.76 = 6,393.74/x
  3. Step 3: Cross multiply
    21,976.12x = 32,969.76 × 6,393.74
  4. Step 4: Simplify right side
    21,976.12x = 210,800,073.30
  5. Step 5: Solve for x
    x = 210,800,073.30/21,976.12
  6. Step 6: Final answer
    x = 9,592.23

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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.