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Finding the Fourth Proportional to 13,887.87, 20,821.03 and 6,863.04

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Solution

The fourth proportional to 13,887.87, 20,821.03 and 6,863.04 is: 10,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.87 : 20,821.03 = 6,863.04 : x
  2. Step 2: Convert to fraction form
    13,887.87/20,821.03 = 6,863.04/x
  3. Step 3: Cross multiply
    13,887.87x = 20,821.03 × 6,863.04
  4. Step 4: Simplify right side
    13,887.87x = 142,895,544.57
  5. Step 5: Solve for x
    x = 142,895,544.57/13,887.87
  6. Step 6: Final answer
    x = 10,289.24

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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.