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Finding the Fourth Proportional to 2,000.62, 3,000.70 and 539.92

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Solution

The fourth proportional to 2,000.62, 3,000.70 and 539.92 is: 809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.62 : 3,000.70 = 539.92 : x
  2. Step 2: Convert to fraction form
    2,000.62/3,000.70 = 539.92/x
  3. Step 3: Cross multiply
    2,000.62x = 3,000.70 × 539.92
  4. Step 4: Simplify right side
    2,000.62x = 1,620,137.94
  5. Step 5: Solve for x
    x = 1,620,137.94/2,000.62
  6. Step 6: Final answer
    x = 809.82

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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.