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Finding the Fourth Proportional to 21,033, 31,553.15 and 7,182

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Solution

The fourth proportional to 21,033, 31,553.15 and 7,182 is: 10,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033 : 31,553.15 = 7,182 : x
  2. Step 2: Convert to fraction form
    21,033/31,553.15 = 7,182/x
  3. Step 3: Cross multiply
    21,033x = 31,553.15 × 7,182
  4. Step 4: Simplify right side
    21,033x = 226,614,687.39
  5. Step 5: Solve for x
    x = 226,614,687.39/21,033
  6. Step 6: Final answer
    x = 10,774.24

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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.