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Finding the Fourth Proportional to 21,965.60, 32,872.80 and 13,206.80

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Solution

The fourth proportional to 21,965.60, 32,872.80 and 13,206.80 is: 19,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.60 : 32,872.80 = 13,206.80 : x
  2. Step 2: Convert to fraction form
    21,965.60/32,872.80 = 13,206.80/x
  3. Step 3: Cross multiply
    21,965.60x = 32,872.80 × 13,206.80
  4. Step 4: Simplify right side
    21,965.60x = 434,144,495.04
  5. Step 5: Solve for x
    x = 434,144,495.04/21,965.60
  6. Step 6: Final answer
    x = 19,764.75

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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.