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Finding the Fourth Proportional to 13,687.42, 20,494.05 and 7,099.81

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Solution

The fourth proportional to 13,687.42, 20,494.05 and 7,099.81 is: 10,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.42 : 20,494.05 = 7,099.81 : x
  2. Step 2: Convert to fraction form
    13,687.42/20,494.05 = 7,099.81/x
  3. Step 3: Cross multiply
    13,687.42x = 20,494.05 × 7,099.81
  4. Step 4: Simplify right side
    13,687.42x = 145,503,861.13
  5. Step 5: Solve for x
    x = 145,503,861.13/13,687.42
  6. Step 6: Final answer
    x = 10,630.48

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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.