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Finding the Fourth Proportional to 3,708.53, 5,120.16 and 3,309.51

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Solution

The fourth proportional to 3,708.53, 5,120.16 and 3,309.51 is: 4,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.53 : 5,120.16 = 3,309.51 : x
  2. Step 2: Convert to fraction form
    3,708.53/5,120.16 = 3,309.51/x
  3. Step 3: Cross multiply
    3,708.53x = 5,120.16 × 3,309.51
  4. Step 4: Simplify right side
    3,708.53x = 16,945,237.33
  5. Step 5: Solve for x
    x = 16,945,237.33/3,708.53
  6. Step 6: Final answer
    x = 4,569.26

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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.