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Finding the Fourth Proportional to 15,233, 21,024.42 and 8,609

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Solution

The fourth proportional to 15,233, 21,024.42 and 8,609 is: 11,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233 : 21,024.42 = 8,609 : x
  2. Step 2: Convert to fraction form
    15,233/21,024.42 = 8,609/x
  3. Step 3: Cross multiply
    15,233x = 21,024.42 × 8,609
  4. Step 4: Simplify right side
    15,233x = 180,999,231.78
  5. Step 5: Solve for x
    x = 180,999,231.78/15,233
  6. Step 6: Final answer
    x = 11,882.05

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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.