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Finding the Fourth Proportional to 20,883.64, 31,322.28 and 6,843.64

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Solution

The fourth proportional to 20,883.64, 31,322.28 and 6,843.64 is: 10,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.64 : 31,322.28 = 6,843.64 : x
  2. Step 2: Convert to fraction form
    20,883.64/31,322.28 = 6,843.64/x
  3. Step 3: Cross multiply
    20,883.64x = 31,322.28 × 6,843.64
  4. Step 4: Simplify right side
    20,883.64x = 214,358,408.30
  5. Step 5: Solve for x
    x = 214,358,408.30/20,883.64
  6. Step 6: Final answer
    x = 10,264.42

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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.