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Finding the Fourth Proportional to 15,048, 20,767.20 and 8,424

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Solution

The fourth proportional to 15,048, 20,767.20 and 8,424 is: 11,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,048 : 20,767.20 = 8,424 : x
  2. Step 2: Convert to fraction form
    15,048/20,767.20 = 8,424/x
  3. Step 3: Cross multiply
    15,048x = 20,767.20 × 8,424
  4. Step 4: Simplify right side
    15,048x = 174,942,892.80
  5. Step 5: Solve for x
    x = 174,942,892.80/15,048
  6. Step 6: Final answer
    x = 11,625.66

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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.