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Finding the Fourth Proportional to 2,000.25, 2,998.49 and 1,515.42

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Solution

The fourth proportional to 2,000.25, 2,998.49 and 1,515.42 is: 2,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.25 : 2,998.49 = 1,515.42 : x
  2. Step 2: Convert to fraction form
    2,000.25/2,998.49 = 1,515.42/x
  3. Step 3: Cross multiply
    2,000.25x = 2,998.49 × 1,515.42
  4. Step 4: Simplify right side
    2,000.25x = 4,543,964.14
  5. Step 5: Solve for x
    x = 4,543,964.14/2,000.25
  6. Step 6: Final answer
    x = 2,271.70

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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.