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Finding the Fourth Proportional to 3,399, 4,696.47 and 2,808.54

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Solution

The fourth proportional to 3,399, 4,696.47 and 2,808.54 is: 3,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399 : 4,696.47 = 2,808.54 : x
  2. Step 2: Convert to fraction form
    3,399/4,696.47 = 2,808.54/x
  3. Step 3: Cross multiply
    3,399x = 4,696.47 × 2,808.54
  4. Step 4: Simplify right side
    3,399x = 13,190,223.85
  5. Step 5: Solve for x
    x = 13,190,223.85/3,399
  6. Step 6: Final answer
    x = 3,880.62

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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.