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Finding the Fourth Proportional to 5,198.60, 7,778.22 and 2,891.72

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Solution

The fourth proportional to 5,198.60, 7,778.22 and 2,891.72 is: 4,326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.60 : 7,778.22 = 2,891.72 : x
  2. Step 2: Convert to fraction form
    5,198.60/7,778.22 = 2,891.72/x
  3. Step 3: Cross multiply
    5,198.60x = 7,778.22 × 2,891.72
  4. Step 4: Simplify right side
    5,198.60x = 22,492,434.34
  5. Step 5: Solve for x
    x = 22,492,434.34/5,198.60
  6. Step 6: Final answer
    x = 4,326.63

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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.