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Finding the Fourth Proportional to 15,168, 20,931.84 and 8,544

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Solution

The fourth proportional to 15,168, 20,931.84 and 8,544 is: 11,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,168 : 20,931.84 = 8,544 : x
  2. Step 2: Convert to fraction form
    15,168/20,931.84 = 8,544/x
  3. Step 3: Cross multiply
    15,168x = 20,931.84 × 8,544
  4. Step 4: Simplify right side
    15,168x = 178,841,640.96
  5. Step 5: Solve for x
    x = 178,841,640.96/15,168
  6. Step 6: Final answer
    x = 11,790.72

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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.