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Finding the Fourth Proportional to 13,712.22, 20,571.42 and 4,947.14

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Solution

The fourth proportional to 13,712.22, 20,571.42 and 4,947.14 is: 7,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.22 : 20,571.42 = 4,947.14 : x
  2. Step 2: Convert to fraction form
    13,712.22/20,571.42 = 4,947.14/x
  3. Step 3: Cross multiply
    13,712.22x = 20,571.42 × 4,947.14
  4. Step 4: Simplify right side
    13,712.22x = 101,769,736.89
  5. Step 5: Solve for x
    x = 101,769,736.89/13,712.22
  6. Step 6: Final answer
    x = 7,421.83

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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.