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Finding the Fourth Proportional to 1,997.57, 2,990.08 and 1,647.65

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Solution

The fourth proportional to 1,997.57, 2,990.08 and 1,647.65 is: 2,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.57 : 2,990.08 = 1,647.65 : x
  2. Step 2: Convert to fraction form
    1,997.57/2,990.08 = 1,647.65/x
  3. Step 3: Cross multiply
    1,997.57x = 2,990.08 × 1,647.65
  4. Step 4: Simplify right side
    1,997.57x = 4,926,605.31
  5. Step 5: Solve for x
    x = 4,926,605.31/1,997.57
  6. Step 6: Final answer
    x = 2,466.30

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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.