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Finding the Fourth Proportional to 7,807.44, 11,739.26 and 7,198.59

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Solution

The fourth proportional to 7,807.44, 11,739.26 and 7,198.59 is: 10,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.44 : 11,739.26 = 7,198.59 : x
  2. Step 2: Convert to fraction form
    7,807.44/11,739.26 = 7,198.59/x
  3. Step 3: Cross multiply
    7,807.44x = 11,739.26 × 7,198.59
  4. Step 4: Simplify right side
    7,807.44x = 84,506,083.65
  5. Step 5: Solve for x
    x = 84,506,083.65/7,807.44
  6. Step 6: Final answer
    x = 10,823.79

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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.