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Finding the Fourth Proportional to 13,962.81, 20,940.98 and 4,099.44

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Solution

The fourth proportional to 13,962.81, 20,940.98 and 4,099.44 is: 6,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,962.81 : 20,940.98 = 4,099.44 : x
  2. Step 2: Convert to fraction form
    13,962.81/20,940.98 = 4,099.44/x
  3. Step 3: Cross multiply
    13,962.81x = 20,940.98 × 4,099.44
  4. Step 4: Simplify right side
    13,962.81x = 85,846,270.55
  5. Step 5: Solve for x
    x = 85,846,270.55/13,962.81
  6. Step 6: Final answer
    x = 6,148.21

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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.