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Finding the Fourth Proportional to 4,852, 6,696.84 and 3,083.26

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Solution

The fourth proportional to 4,852, 6,696.84 and 3,083.26 is: 4,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852 : 6,696.84 = 3,083.26 : x
  2. Step 2: Convert to fraction form
    4,852/6,696.84 = 3,083.26/x
  3. Step 3: Cross multiply
    4,852x = 6,696.84 × 3,083.26
  4. Step 4: Simplify right side
    4,852x = 20,648,098.90
  5. Step 5: Solve for x
    x = 20,648,098.90/4,852
  6. Step 6: Final answer
    x = 4,255.59

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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.