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Finding the Fourth Proportional to 2,000.16, 2,999.72 and 613.14

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Solution

The fourth proportional to 2,000.16, 2,999.72 and 613.14 is: 919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.16 : 2,999.72 = 613.14 : x
  2. Step 2: Convert to fraction form
    2,000.16/2,999.72 = 613.14/x
  3. Step 3: Cross multiply
    2,000.16x = 2,999.72 × 613.14
  4. Step 4: Simplify right side
    2,000.16x = 1,839,248.32
  5. Step 5: Solve for x
    x = 1,839,248.32/2,000.16
  6. Step 6: Final answer
    x = 919.55

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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.