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Finding the Fourth Proportional to 13,917.70, 20,857.02 and 7,680.61

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Solution

The fourth proportional to 13,917.70, 20,857.02 and 7,680.61 is: 11,510.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.70 : 20,857.02 = 7,680.61 : x
  2. Step 2: Convert to fraction form
    13,917.70/20,857.02 = 7,680.61/x
  3. Step 3: Cross multiply
    13,917.70x = 20,857.02 × 7,680.61
  4. Step 4: Simplify right side
    13,917.70x = 160,194,636.38
  5. Step 5: Solve for x
    x = 160,194,636.38/13,917.70
  6. Step 6: Final answer
    x = 11,510.14

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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.