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Finding the Fourth Proportional to 7,744.74, 11,609.82 and 3,845.40

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Solution

The fourth proportional to 7,744.74, 11,609.82 and 3,845.40 is: 5,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.74 : 11,609.82 = 3,845.40 : x
  2. Step 2: Convert to fraction form
    7,744.74/11,609.82 = 3,845.40/x
  3. Step 3: Cross multiply
    7,744.74x = 11,609.82 × 3,845.40
  4. Step 4: Simplify right side
    7,744.74x = 44,644,401.83
  5. Step 5: Solve for x
    x = 44,644,401.83/7,744.74
  6. Step 6: Final answer
    x = 5,764.48

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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.