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Finding the Fourth Proportional to 21,955.26, 32,940.30 and 6,964.84

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Solution

The fourth proportional to 21,955.26, 32,940.30 and 6,964.84 is: 10,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.26 : 32,940.30 = 6,964.84 : x
  2. Step 2: Convert to fraction form
    21,955.26/32,940.30 = 6,964.84/x
  3. Step 3: Cross multiply
    21,955.26x = 32,940.30 × 6,964.84
  4. Step 4: Simplify right side
    21,955.26x = 229,423,919.05
  5. Step 5: Solve for x
    x = 229,423,919.05/21,955.26
  6. Step 6: Final answer
    x = 10,449.61

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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.