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Finding the Fourth Proportional to 21,571.25, 32,356.88 and 6,979.25

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Solution

The fourth proportional to 21,571.25, 32,356.88 and 6,979.25 is: 10,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.25 : 32,356.88 = 6,979.25 : x
  2. Step 2: Convert to fraction form
    21,571.25/32,356.88 = 6,979.25/x
  3. Step 3: Cross multiply
    21,571.25x = 32,356.88 × 6,979.25
  4. Step 4: Simplify right side
    21,571.25x = 225,826,754.74
  5. Step 5: Solve for x
    x = 225,826,754.74/21,571.25
  6. Step 6: Final answer
    x = 10,468.88

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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.