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Finding the Fourth Proportional to 13,959.81, 20,942.82 and 4,099.14

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Solution

The fourth proportional to 13,959.81, 20,942.82 and 4,099.14 is: 6,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.81 : 20,942.82 = 4,099.14 : x
  2. Step 2: Convert to fraction form
    13,959.81/20,942.82 = 4,099.14/x
  3. Step 3: Cross multiply
    13,959.81x = 20,942.82 × 4,099.14
  4. Step 4: Simplify right side
    13,959.81x = 85,847,551.17
  5. Step 5: Solve for x
    x = 85,847,551.17/13,959.81
  6. Step 6: Final answer
    x = 6,149.62

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1.5x scale

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.