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Finding the Fourth Proportional to 3,729.79, 5,138.22 and 2,608.63

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Solution

The fourth proportional to 3,729.79, 5,138.22 and 2,608.63 is: 3,593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.79 : 5,138.22 = 2,608.63 : x
  2. Step 2: Convert to fraction form
    3,729.79/5,138.22 = 2,608.63/x
  3. Step 3: Cross multiply
    3,729.79x = 5,138.22 × 2,608.63
  4. Step 4: Simplify right side
    3,729.79x = 13,403,714.84
  5. Step 5: Solve for x
    x = 13,403,714.84/3,729.79
  6. Step 6: Final answer
    x = 3,593.69

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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.