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Finding the Fourth Proportional to 8,478.60, 11,696.34 and 4,940.52

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Solution

The fourth proportional to 8,478.60, 11,696.34 and 4,940.52 is: 6,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.60 : 11,696.34 = 4,940.52 : x
  2. Step 2: Convert to fraction form
    8,478.60/11,696.34 = 4,940.52/x
  3. Step 3: Cross multiply
    8,478.60x = 11,696.34 × 4,940.52
  4. Step 4: Simplify right side
    8,478.60x = 57,786,001.70
  5. Step 5: Solve for x
    x = 57,786,001.70/8,478.60
  6. Step 6: Final answer
    x = 6,815.51

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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.