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Finding the Fourth Proportional to 1,999.86, 3,000.23 and 613.21

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Solution

The fourth proportional to 1,999.86, 3,000.23 and 613.21 is: 919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.86 : 3,000.23 = 613.21 : x
  2. Step 2: Convert to fraction form
    1,999.86/3,000.23 = 613.21/x
  3. Step 3: Cross multiply
    1,999.86x = 3,000.23 × 613.21
  4. Step 4: Simplify right side
    1,999.86x = 1,839,771.04
  5. Step 5: Solve for x
    x = 1,839,771.04/1,999.86
  6. Step 6: Final answer
    x = 919.95

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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.