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Finding the Fourth Proportional to 2,090.26, 3,136.29 and 792.10

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Solution

The fourth proportional to 2,090.26, 3,136.29 and 792.10 is: 1,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.26 : 3,136.29 = 792.10 : x
  2. Step 2: Convert to fraction form
    2,090.26/3,136.29 = 792.10/x
  3. Step 3: Cross multiply
    2,090.26x = 3,136.29 × 792.10
  4. Step 4: Simplify right side
    2,090.26x = 2,484,255.31
  5. Step 5: Solve for x
    x = 2,484,255.31/2,090.26
  6. Step 6: Final answer
    x = 1,188.49

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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.