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Finding the Fourth Proportional to 20,099.74, 27,737.16 and 11,147.16

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Solution

The fourth proportional to 20,099.74, 27,737.16 and 11,147.16 is: 15,382.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.74 : 27,737.16 = 11,147.16 : x
  2. Step 2: Convert to fraction form
    20,099.74/27,737.16 = 11,147.16/x
  3. Step 3: Cross multiply
    20,099.74x = 27,737.16 × 11,147.16
  4. Step 4: Simplify right side
    20,099.74x = 309,190,560.47
  5. Step 5: Solve for x
    x = 309,190,560.47/20,099.74
  6. Step 6: Final answer
    x = 15,382.81

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1.5x scale

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.