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Finding the Fourth Proportional to 21,782.98, 32,694.51 and 13,479.22

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Solution

The fourth proportional to 21,782.98, 32,694.51 and 13,479.22 is: 20,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.98 : 32,694.51 = 13,479.22 : x
  2. Step 2: Convert to fraction form
    21,782.98/32,694.51 = 13,479.22/x
  3. Step 3: Cross multiply
    21,782.98x = 32,694.51 × 13,479.22
  4. Step 4: Simplify right side
    21,782.98x = 440,696,493.08
  5. Step 5: Solve for x
    x = 440,696,493.08/21,782.98
  6. Step 6: Final answer
    x = 20,231.23

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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.