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Finding the Fourth Proportional to 7,842.44, 11,764.32 and 3,400.40

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Solution

The fourth proportional to 7,842.44, 11,764.32 and 3,400.40 is: 5,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.44 : 11,764.32 = 3,400.40 : x
  2. Step 2: Convert to fraction form
    7,842.44/11,764.32 = 3,400.40/x
  3. Step 3: Cross multiply
    7,842.44x = 11,764.32 × 3,400.40
  4. Step 4: Simplify right side
    7,842.44x = 40,003,393.73
  5. Step 5: Solve for x
    x = 40,003,393.73/7,842.44
  6. Step 6: Final answer
    x = 5,100.89

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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.