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Finding the Fourth Proportional to 21,732.81, 32,605.40 and 6,942.88

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Solution

The fourth proportional to 21,732.81, 32,605.40 and 6,942.88 is: 10,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.81 : 32,605.40 = 6,942.88 : x
  2. Step 2: Convert to fraction form
    21,732.81/32,605.40 = 6,942.88/x
  3. Step 3: Cross multiply
    21,732.81x = 32,605.40 × 6,942.88
  4. Step 4: Simplify right side
    21,732.81x = 226,375,379.55
  5. Step 5: Solve for x
    x = 226,375,379.55/21,732.81
  6. Step 6: Final answer
    x = 10,416.30

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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.