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Finding the Fourth Proportional to 21,862.80, 32,795.23 and 7,072.88

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Solution

The fourth proportional to 21,862.80, 32,795.23 and 7,072.88 is: 10,609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,862.80 : 32,795.23 = 7,072.88 : x
  2. Step 2: Convert to fraction form
    21,862.80/32,795.23 = 7,072.88/x
  3. Step 3: Cross multiply
    21,862.80x = 32,795.23 × 7,072.88
  4. Step 4: Simplify right side
    21,862.80x = 231,956,650.20
  5. Step 5: Solve for x
    x = 231,956,650.20/21,862.80
  6. Step 6: Final answer
    x = 10,609.65

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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.