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Finding the Fourth Proportional to 7,664, 11,497.92 and 2,192

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Solution

The fourth proportional to 7,664, 11,497.92 and 2,192 is: 3,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664 : 11,497.92 = 2,192 : x
  2. Step 2: Convert to fraction form
    7,664/11,497.92 = 2,192/x
  3. Step 3: Cross multiply
    7,664x = 11,497.92 × 2,192
  4. Step 4: Simplify right side
    7,664x = 25,203,440.64
  5. Step 5: Solve for x
    x = 25,203,440.64/7,664
  6. Step 6: Final answer
    x = 3,288.55

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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.