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Finding the Fourth Proportional to 13,816.58, 20,731 and 7,241.20

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Solution

The fourth proportional to 13,816.58, 20,731 and 7,241.20 is: 10,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.58 : 20,731 = 7,241.20 : x
  2. Step 2: Convert to fraction form
    13,816.58/20,731 = 7,241.20/x
  3. Step 3: Cross multiply
    13,816.58x = 20,731 × 7,241.20
  4. Step 4: Simplify right side
    13,816.58x = 150,117,317.20
  5. Step 5: Solve for x
    x = 150,117,317.20/13,816.58
  6. Step 6: Final answer
    x = 10,865.01

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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.