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Finding the Fourth Proportional to 7,789.74, 11,684.62 and 3,407.54

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Solution

The fourth proportional to 7,789.74, 11,684.62 and 3,407.54 is: 5,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.74 : 11,684.62 = 3,407.54 : x
  2. Step 2: Convert to fraction form
    7,789.74/11,684.62 = 3,407.54/x
  3. Step 3: Cross multiply
    7,789.74x = 11,684.62 × 3,407.54
  4. Step 4: Simplify right side
    7,789.74x = 39,815,755.87
  5. Step 5: Solve for x
    x = 39,815,755.87/7,789.74
  6. Step 6: Final answer
    x = 5,111.31

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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.