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Finding the Fourth Proportional to 20,168.96, 30,247.68 and 8,480

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Solution

The fourth proportional to 20,168.96, 30,247.68 and 8,480 is: 12,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168.96 : 30,247.68 = 8,480 : x
  2. Step 2: Convert to fraction form
    20,168.96/30,247.68 = 8,480/x
  3. Step 3: Cross multiply
    20,168.96x = 30,247.68 × 8,480
  4. Step 4: Simplify right side
    20,168.96x = 256,500,326.40
  5. Step 5: Solve for x
    x = 256,500,326.40/20,168.96
  6. Step 6: Final answer
    x = 12,717.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.