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Finding the Fourth Proportional to 7,836, 11,749.92 and 2,640

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Solution

The fourth proportional to 7,836, 11,749.92 and 2,640 is: 3,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 11,749.92 = 2,640 : x
  2. Step 2: Convert to fraction form
    7,836/11,749.92 = 2,640/x
  3. Step 3: Cross multiply
    7,836x = 11,749.92 × 2,640
  4. Step 4: Simplify right side
    7,836x = 31,019,788.80
  5. Step 5: Solve for x
    x = 31,019,788.80/7,836
  6. Step 6: Final answer
    x = 3,958.63

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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.