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Finding the Fourth Proportional to 13,993.20, 20,971.16 and 5,219.28

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Solution

The fourth proportional to 13,993.20, 20,971.16 and 5,219.28 is: 7,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.20 : 20,971.16 = 5,219.28 : x
  2. Step 2: Convert to fraction form
    13,993.20/20,971.16 = 5,219.28/x
  3. Step 3: Cross multiply
    13,993.20x = 20,971.16 × 5,219.28
  4. Step 4: Simplify right side
    13,993.20x = 109,454,355.96
  5. Step 5: Solve for x
    x = 109,454,355.96/13,993.20
  6. Step 6: Final answer
    x = 7,821.97

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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.