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Finding the Fourth Proportional to 13,645.14, 20,474.31 and 6,631.14

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Solution

The fourth proportional to 13,645.14, 20,474.31 and 6,631.14 is: 9,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.14 : 20,474.31 = 6,631.14 : x
  2. Step 2: Convert to fraction form
    13,645.14/20,474.31 = 6,631.14/x
  3. Step 3: Cross multiply
    13,645.14x = 20,474.31 × 6,631.14
  4. Step 4: Simplify right side
    13,645.14x = 135,768,016.01
  5. Step 5: Solve for x
    x = 135,768,016.01/13,645.14
  6. Step 6: Final answer
    x = 9,949.92

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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.