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Finding the Fourth Proportional to 2,090.55, 3,135.85 and 551.55

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Solution

The fourth proportional to 2,090.55, 3,135.85 and 551.55 is: 827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.55 : 3,135.85 = 551.55 : x
  2. Step 2: Convert to fraction form
    2,090.55/3,135.85 = 551.55/x
  3. Step 3: Cross multiply
    2,090.55x = 3,135.85 × 551.55
  4. Step 4: Simplify right side
    2,090.55x = 1,729,578.07
  5. Step 5: Solve for x
    x = 1,729,578.07/2,090.55
  6. Step 6: Final answer
    x = 827.33

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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.