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Finding the Fourth Proportional to 13,813.64, 20,724.56 and 7,238.97

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Solution

The fourth proportional to 13,813.64, 20,724.56 and 7,238.97 is: 10,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.64 : 20,724.56 = 7,238.97 : x
  2. Step 2: Convert to fraction form
    13,813.64/20,724.56 = 7,238.97/x
  3. Step 3: Cross multiply
    13,813.64x = 20,724.56 × 7,238.97
  4. Step 4: Simplify right side
    13,813.64x = 150,024,459.05
  5. Step 5: Solve for x
    x = 150,024,459.05/13,813.64
  6. Step 6: Final answer
    x = 10,860.60

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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.