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Finding the Fourth Proportional to 2,000.17, 2,999.27 and 613.17

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Solution

The fourth proportional to 2,000.17, 2,999.27 and 613.17 is: 919.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.17 : 2,999.27 = 613.17 : x
  2. Step 2: Convert to fraction form
    2,000.17/2,999.27 = 613.17/x
  3. Step 3: Cross multiply
    2,000.17x = 2,999.27 × 613.17
  4. Step 4: Simplify right side
    2,000.17x = 1,839,068.91
  5. Step 5: Solve for x
    x = 1,839,068.91/2,000.17
  6. Step 6: Final answer
    x = 919.46

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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.