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Finding the Fourth Proportional to 7,929.92, 10,932.62 and 6,806

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Solution

The fourth proportional to 7,929.92, 10,932.62 and 6,806 is: 9,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.92 : 10,932.62 = 6,806 : x
  2. Step 2: Convert to fraction form
    7,929.92/10,932.62 = 6,806/x
  3. Step 3: Cross multiply
    7,929.92x = 10,932.62 × 6,806
  4. Step 4: Simplify right side
    7,929.92x = 74,407,411.72
  5. Step 5: Solve for x
    x = 74,407,411.72/7,929.92
  6. Step 6: Final answer
    x = 9,383.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.