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Finding the Fourth Proportional to 2,012, 2,778.04 and 1,620.80

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Solution

The fourth proportional to 2,012, 2,778.04 and 1,620.80 is: 2,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012 : 2,778.04 = 1,620.80 : x
  2. Step 2: Convert to fraction form
    2,012/2,778.04 = 1,620.80/x
  3. Step 3: Cross multiply
    2,012x = 2,778.04 × 1,620.80
  4. Step 4: Simplify right side
    2,012x = 4,502,647.23
  5. Step 5: Solve for x
    x = 4,502,647.23/2,012
  6. Step 6: Final answer
    x = 2,237.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.