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Finding the Fourth Proportional to 15,168, 20,934.72 and 8,544

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Solution

The fourth proportional to 15,168, 20,934.72 and 8,544 is: 11,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,168 : 20,934.72 = 8,544 : x
  2. Step 2: Convert to fraction form
    15,168/20,934.72 = 8,544/x
  3. Step 3: Cross multiply
    15,168x = 20,934.72 × 8,544
  4. Step 4: Simplify right side
    15,168x = 178,866,247.68
  5. Step 5: Solve for x
    x = 178,866,247.68/15,168
  6. Step 6: Final answer
    x = 11,792.34

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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.