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Finding the Fourth Proportional to 2,000.21, 3,000.18 and 613.41

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Solution

The fourth proportional to 2,000.21, 3,000.18 and 613.41 is: 920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.21 : 3,000.18 = 613.41 : x
  2. Step 2: Convert to fraction form
    2,000.21/3,000.18 = 613.41/x
  3. Step 3: Cross multiply
    2,000.21x = 3,000.18 × 613.41
  4. Step 4: Simplify right side
    2,000.21x = 1,840,340.41
  5. Step 5: Solve for x
    x = 1,840,340.41/2,000.21
  6. Step 6: Final answer
    x = 920.07

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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.