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Finding the Fourth Proportional to 20,843.64, 31,263.84 and 8,363.16

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Solution

The fourth proportional to 20,843.64, 31,263.84 and 8,363.16 is: 12,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.64 : 31,263.84 = 8,363.16 : x
  2. Step 2: Convert to fraction form
    20,843.64/31,263.84 = 8,363.16/x
  3. Step 3: Cross multiply
    20,843.64x = 31,263.84 × 8,363.16
  4. Step 4: Simplify right side
    20,843.64x = 261,464,496.13
  5. Step 5: Solve for x
    x = 261,464,496.13/20,843.64
  6. Step 6: Final answer
    x = 12,544.09

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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.