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Finding the Fourth Proportional to 7,800.67, 11,690.04 and 5,198.14

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Solution

The fourth proportional to 7,800.67, 11,690.04 and 5,198.14 is: 7,789.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.67 : 11,690.04 = 5,198.14 : x
  2. Step 2: Convert to fraction form
    7,800.67/11,690.04 = 5,198.14/x
  3. Step 3: Cross multiply
    7,800.67x = 11,690.04 × 5,198.14
  4. Step 4: Simplify right side
    7,800.67x = 60,766,464.53
  5. Step 5: Solve for x
    x = 60,766,464.53/7,800.67
  6. Step 6: Final answer
    x = 7,789.90

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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.