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Finding the Fourth Proportional to 20,099.70, 27,754.02 and 13,038.12

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Solution

The fourth proportional to 20,099.70, 27,754.02 and 13,038.12 is: 18,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.70 : 27,754.02 = 13,038.12 : x
  2. Step 2: Convert to fraction form
    20,099.70/27,754.02 = 13,038.12/x
  3. Step 3: Cross multiply
    20,099.70x = 27,754.02 × 13,038.12
  4. Step 4: Simplify right side
    20,099.70x = 361,860,243.24
  5. Step 5: Solve for x
    x = 361,860,243.24/20,099.70
  6. Step 6: Final answer
    x = 18,003.27

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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.