Home / 2,090.42-3,134.43-629.14

Finding the Fourth Proportional to 2,090.42, 3,134.43 and 629.14

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Solution

The fourth proportional to 2,090.42, 3,134.43 and 629.14 is: 943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.42 : 3,134.43 = 629.14 : x
  2. Step 2: Convert to fraction form
    2,090.42/3,134.43 = 629.14/x
  3. Step 3: Cross multiply
    2,090.42x = 3,134.43 × 629.14
  4. Step 4: Simplify right side
    2,090.42x = 1,971,995.29
  5. Step 5: Solve for x
    x = 1,971,995.29/2,090.42
  6. Step 6: Final answer
    x = 943.35

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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.