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Finding the Fourth Proportional to 7,743, 11,614.55 and 1,899.61

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Solution

The fourth proportional to 7,743, 11,614.55 and 1,899.61 is: 2,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743 : 11,614.55 = 1,899.61 : x
  2. Step 2: Convert to fraction form
    7,743/11,614.55 = 1,899.61/x
  3. Step 3: Cross multiply
    7,743x = 11,614.55 × 1,899.61
  4. Step 4: Simplify right side
    7,743x = 22,063,115.33
  5. Step 5: Solve for x
    x = 22,063,115.33/7,743
  6. Step 6: Final answer
    x = 2,849.43

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Similar ratio
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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.