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Finding the Fourth Proportional to 2,000.20, 2,995.50 and 1,267.60

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Solution

The fourth proportional to 2,000.20, 2,995.50 and 1,267.60 is: 1,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.20 : 2,995.50 = 1,267.60 : x
  2. Step 2: Convert to fraction form
    2,000.20/2,995.50 = 1,267.60/x
  3. Step 3: Cross multiply
    2,000.20x = 2,995.50 × 1,267.60
  4. Step 4: Simplify right side
    2,000.20x = 3,797,095.80
  5. Step 5: Solve for x
    x = 3,797,095.80/2,000.20
  6. Step 6: Final answer
    x = 1,898.36

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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.