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Finding the Fourth Proportional to 2,000.10, 3,000.41 and 613.53

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Solution

The fourth proportional to 2,000.10, 3,000.41 and 613.53 is: 920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.10 : 3,000.41 = 613.53 : x
  2. Step 2: Convert to fraction form
    2,000.10/3,000.41 = 613.53/x
  3. Step 3: Cross multiply
    2,000.10x = 3,000.41 × 613.53
  4. Step 4: Simplify right side
    2,000.10x = 1,840,843.08
  5. Step 5: Solve for x
    x = 1,840,843.08/2,000.10
  6. Step 6: Final answer
    x = 920.38

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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.