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Finding the Fourth Proportional to 2,091.96, 3,136.02 and 723

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Solution

The fourth proportional to 2,091.96, 3,136.02 and 723 is: 1,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.96 : 3,136.02 = 723 : x
  2. Step 2: Convert to fraction form
    2,091.96/3,136.02 = 723/x
  3. Step 3: Cross multiply
    2,091.96x = 3,136.02 × 723
  4. Step 4: Simplify right side
    2,091.96x = 2,267,342.46
  5. Step 5: Solve for x
    x = 2,267,342.46/2,091.96
  6. Step 6: Final answer
    x = 1,083.84

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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.