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Finding the Fourth Proportional to 20,101.70, 27,756.78 and 13,040.12

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Solution

The fourth proportional to 20,101.70, 27,756.78 and 13,040.12 is: 18,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.70 : 27,756.78 = 13,040.12 : x
  2. Step 2: Convert to fraction form
    20,101.70/27,756.78 = 13,040.12/x
  3. Step 3: Cross multiply
    20,101.70x = 27,756.78 × 13,040.12
  4. Step 4: Simplify right side
    20,101.70x = 361,951,742.01
  5. Step 5: Solve for x
    x = 361,951,742.01/20,101.70
  6. Step 6: Final answer
    x = 18,006.03

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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.