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Finding the Fourth Proportional to 5,198.88, 7,798.17 and 2,078.06

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Solution

The fourth proportional to 5,198.88, 7,798.17 and 2,078.06 is: 3,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.88 : 7,798.17 = 2,078.06 : x
  2. Step 2: Convert to fraction form
    5,198.88/7,798.17 = 2,078.06/x
  3. Step 3: Cross multiply
    5,198.88x = 7,798.17 × 2,078.06
  4. Step 4: Simplify right side
    5,198.88x = 16,205,033.95
  5. Step 5: Solve for x
    x = 16,205,033.95/5,198.88
  6. Step 6: Final answer
    x = 3,117.02

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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.