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Finding the Fourth Proportional to 3,806.51, 5,255.46 and 3,407.48

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Solution

The fourth proportional to 3,806.51, 5,255.46 and 3,407.48 is: 4,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.51 : 5,255.46 = 3,407.48 : x
  2. Step 2: Convert to fraction form
    3,806.51/5,255.46 = 3,407.48/x
  3. Step 3: Cross multiply
    3,806.51x = 5,255.46 × 3,407.48
  4. Step 4: Simplify right side
    3,806.51x = 17,907,874.84
  5. Step 5: Solve for x
    x = 17,907,874.84/3,806.51
  6. Step 6: Final answer
    x = 4,704.54

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1.5x scale

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.