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Finding the Fourth Proportional to 15,456.52, 21,329.94 and 8,382.52

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Solution

The fourth proportional to 15,456.52, 21,329.94 and 8,382.52 is: 11,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.52 : 21,329.94 = 8,382.52 : x
  2. Step 2: Convert to fraction form
    15,456.52/21,329.94 = 8,382.52/x
  3. Step 3: Cross multiply
    15,456.52x = 21,329.94 × 8,382.52
  4. Step 4: Simplify right side
    15,456.52x = 178,798,648.65
  5. Step 5: Solve for x
    x = 178,798,648.65/15,456.52
  6. Step 6: Final answer
    x = 11,567.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.