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Finding the Fourth Proportional to 8,478.67, 11,696.61 and 5,495.47

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Solution

The fourth proportional to 8,478.67, 11,696.61 and 5,495.47 is: 7,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.67 : 11,696.61 = 5,495.47 : x
  2. Step 2: Convert to fraction form
    8,478.67/11,696.61 = 5,495.47/x
  3. Step 3: Cross multiply
    8,478.67x = 11,696.61 × 5,495.47
  4. Step 4: Simplify right side
    8,478.67x = 64,278,310.87
  5. Step 5: Solve for x
    x = 64,278,310.87/8,478.67
  6. Step 6: Final answer
    x = 7,581.18

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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.