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Finding the Fourth Proportional to 2,027.70, 2,782.08 and 1,972.62

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Solution

The fourth proportional to 2,027.70, 2,782.08 and 1,972.62 is: 2,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.70 : 2,782.08 = 1,972.62 : x
  2. Step 2: Convert to fraction form
    2,027.70/2,782.08 = 1,972.62/x
  3. Step 3: Cross multiply
    2,027.70x = 2,782.08 × 1,972.62
  4. Step 4: Simplify right side
    2,027.70x = 5,487,986.65
  5. Step 5: Solve for x
    x = 5,487,986.65/2,027.70
  6. Step 6: Final answer
    x = 2,706.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.