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Finding the Fourth Proportional to 21,954.88, 32,928.96 and 6,369.28

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Solution

The fourth proportional to 21,954.88, 32,928.96 and 6,369.28 is: 9,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954.88 : 32,928.96 = 6,369.28 : x
  2. Step 2: Convert to fraction form
    21,954.88/32,928.96 = 6,369.28/x
  3. Step 3: Cross multiply
    21,954.88x = 32,928.96 × 6,369.28
  4. Step 4: Simplify right side
    21,954.88x = 209,733,766.35
  5. Step 5: Solve for x
    x = 209,733,766.35/21,954.88
  6. Step 6: Final answer
    x = 9,552.95

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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.