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Finding the Fourth Proportional to 15,120, 20,865.60 and 8,496

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Solution

The fourth proportional to 15,120, 20,865.60 and 8,496 is: 11,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120 : 20,865.60 = 8,496 : x
  2. Step 2: Convert to fraction form
    15,120/20,865.60 = 8,496/x
  3. Step 3: Cross multiply
    15,120x = 20,865.60 × 8,496
  4. Step 4: Simplify right side
    15,120x = 177,274,137.60
  5. Step 5: Solve for x
    x = 177,274,137.60/15,120
  6. Step 6: Final answer
    x = 11,724.48

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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.