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Finding the Fourth Proportional to 2,090.86, 3,136.56 and 792.70

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Solution

The fourth proportional to 2,090.86, 3,136.56 and 792.70 is: 1,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.86 : 3,136.56 = 792.70 : x
  2. Step 2: Convert to fraction form
    2,090.86/3,136.56 = 792.70/x
  3. Step 3: Cross multiply
    2,090.86x = 3,136.56 × 792.70
  4. Step 4: Simplify right side
    2,090.86x = 2,486,351.11
  5. Step 5: Solve for x
    x = 2,486,351.11/2,090.86
  6. Step 6: Final answer
    x = 1,189.15

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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.