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Finding the Fourth Proportional to 2,090.64, 3,136.14 and 629.67

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Solution

The fourth proportional to 2,090.64, 3,136.14 and 629.67 is: 944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.64 : 3,136.14 = 629.67 : x
  2. Step 2: Convert to fraction form
    2,090.64/3,136.14 = 629.67/x
  3. Step 3: Cross multiply
    2,090.64x = 3,136.14 × 629.67
  4. Step 4: Simplify right side
    2,090.64x = 1,974,733.27
  5. Step 5: Solve for x
    x = 1,974,733.27/2,090.64
  6. Step 6: Final answer
    x = 944.56

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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.