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Finding the Fourth Proportional to 2,113.21, 3,169.81 and 574.21

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Solution

The fourth proportional to 2,113.21, 3,169.81 and 574.21 is: 861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.21 : 3,169.81 = 574.21 : x
  2. Step 2: Convert to fraction form
    2,113.21/3,169.81 = 574.21/x
  3. Step 3: Cross multiply
    2,113.21x = 3,169.81 × 574.21
  4. Step 4: Simplify right side
    2,113.21x = 1,820,136.60
  5. Step 5: Solve for x
    x = 1,820,136.60/2,113.21
  6. Step 6: Final answer
    x = 861.31

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1.5x scale

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.