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Finding the Fourth Proportional to 2,090.91, 3,136.23 and 530.88

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Solution

The fourth proportional to 2,090.91, 3,136.23 and 530.88 is: 796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.91 : 3,136.23 = 530.88 : x
  2. Step 2: Convert to fraction form
    2,090.91/3,136.23 = 530.88/x
  3. Step 3: Cross multiply
    2,090.91x = 3,136.23 × 530.88
  4. Step 4: Simplify right side
    2,090.91x = 1,664,961.78
  5. Step 5: Solve for x
    x = 1,664,961.78/2,090.91
  6. Step 6: Final answer
    x = 796.29

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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.