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Finding the Fourth Proportional to 2,090.81, 3,136.22 and 551.81

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Solution

The fourth proportional to 2,090.81, 3,136.22 and 551.81 is: 827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.81 : 3,136.22 = 551.81 : x
  2. Step 2: Convert to fraction form
    2,090.81/3,136.22 = 551.81/x
  3. Step 3: Cross multiply
    2,090.81x = 3,136.22 × 551.81
  4. Step 4: Simplify right side
    2,090.81x = 1,730,604.71
  5. Step 5: Solve for x
    x = 1,730,604.71/2,090.81
  6. Step 6: Final answer
    x = 827.72

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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.