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Finding the Fourth Proportional to 2,000.27, 2,999.14 and 613.14

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Solution

The fourth proportional to 2,000.27, 2,999.14 and 613.14 is: 919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.27 : 2,999.14 = 613.14 : x
  2. Step 2: Convert to fraction form
    2,000.27/2,999.14 = 613.14/x
  3. Step 3: Cross multiply
    2,000.27x = 2,999.14 × 613.14
  4. Step 4: Simplify right side
    2,000.27x = 1,838,892.70
  5. Step 5: Solve for x
    x = 1,838,892.70/2,000.27
  6. Step 6: Final answer
    x = 919.32

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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.