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Finding the Fourth Proportional to 14,720, 20,313.92 and 8,096

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Solution

The fourth proportional to 14,720, 20,313.92 and 8,096 is: 11,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720 : 20,313.92 = 8,096 : x
  2. Step 2: Convert to fraction form
    14,720/20,313.92 = 8,096/x
  3. Step 3: Cross multiply
    14,720x = 20,313.92 × 8,096
  4. Step 4: Simplify right side
    14,720x = 164,461,496.32
  5. Step 5: Solve for x
    x = 164,461,496.32/14,720
  6. Step 6: Final answer
    x = 11,172.66

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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.