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Finding the Fourth Proportional to 15,284, 21,092.56 and 8,660

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Solution

The fourth proportional to 15,284, 21,092.56 and 8,660 is: 11,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,284 : 21,092.56 = 8,660 : x
  2. Step 2: Convert to fraction form
    15,284/21,092.56 = 8,660/x
  3. Step 3: Cross multiply
    15,284x = 21,092.56 × 8,660
  4. Step 4: Simplify right side
    15,284x = 182,661,569.60
  5. Step 5: Solve for x
    x = 182,661,569.60/15,284
  6. Step 6: Final answer
    x = 11,951.16

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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.