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Finding the Fourth Proportional to 8,479.92, 11,703.66 and 4,942.46

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Solution

The fourth proportional to 8,479.92, 11,703.66 and 4,942.46 is: 6,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,479.92 : 11,703.66 = 4,942.46 : x
  2. Step 2: Convert to fraction form
    8,479.92/11,703.66 = 4,942.46/x
  3. Step 3: Cross multiply
    8,479.92x = 11,703.66 × 4,942.46
  4. Step 4: Simplify right side
    8,479.92x = 57,844,812.89
  5. Step 5: Solve for x
    x = 57,844,812.89/8,479.92
  6. Step 6: Final answer
    x = 6,821.39

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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.