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Finding the Fourth Proportional to 15,296, 21,108.80 and 8,672

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Solution

The fourth proportional to 15,296, 21,108.80 and 8,672 is: 11,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,296 : 21,108.80 = 8,672 : x
  2. Step 2: Convert to fraction form
    15,296/21,108.80 = 8,672/x
  3. Step 3: Cross multiply
    15,296x = 21,108.80 × 8,672
  4. Step 4: Simplify right side
    15,296x = 183,055,513.60
  5. Step 5: Solve for x
    x = 183,055,513.60/15,296
  6. Step 6: Final answer
    x = 11,967.54

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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.