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Finding the Fourth Proportional to 21,326, 32,000.52 and 10,382

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Solution

The fourth proportional to 21,326, 32,000.52 and 10,382 is: 15,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,326 : 32,000.52 = 10,382 : x
  2. Step 2: Convert to fraction form
    21,326/32,000.52 = 10,382/x
  3. Step 3: Cross multiply
    21,326x = 32,000.52 × 10,382
  4. Step 4: Simplify right side
    21,326x = 332,229,398.64
  5. Step 5: Solve for x
    x = 332,229,398.64/21,326
  6. Step 6: Final answer
    x = 15,578.61

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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.