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Finding the Fourth Proportional to 15,193, 20,967.06 and 8,569

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Solution

The fourth proportional to 15,193, 20,967.06 and 8,569 is: 11,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,193 : 20,967.06 = 8,569 : x
  2. Step 2: Convert to fraction form
    15,193/20,967.06 = 8,569/x
  3. Step 3: Cross multiply
    15,193x = 20,967.06 × 8,569
  4. Step 4: Simplify right side
    15,193x = 179,666,737.14
  5. Step 5: Solve for x
    x = 179,666,737.14/15,193
  6. Step 6: Final answer
    x = 11,825.63

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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.