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Finding the Fourth Proportional to 4,250.64, 6,378.12 and 2,198.64

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Solution

The fourth proportional to 4,250.64, 6,378.12 and 2,198.64 is: 3,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250.64 : 6,378.12 = 2,198.64 : x
  2. Step 2: Convert to fraction form
    4,250.64/6,378.12 = 2,198.64/x
  3. Step 3: Cross multiply
    4,250.64x = 6,378.12 × 2,198.64
  4. Step 4: Simplify right side
    4,250.64x = 14,023,189.76
  5. Step 5: Solve for x
    x = 14,023,189.76/4,250.64
  6. Step 6: Final answer
    x = 3,299.08

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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.