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Finding the Fourth Proportional to 2,090.39, 3,135.44 and 629.55

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Solution

The fourth proportional to 2,090.39, 3,135.44 and 629.55 is: 944.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.39 : 3,135.44 = 629.55 : x
  2. Step 2: Convert to fraction form
    2,090.39/3,135.44 = 629.55/x
  3. Step 3: Cross multiply
    2,090.39x = 3,135.44 × 629.55
  4. Step 4: Simplify right side
    2,090.39x = 1,973,917.83
  5. Step 5: Solve for x
    x = 1,973,917.83/2,090.39
  6. Step 6: Final answer
    x = 944.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.