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Finding the Fourth Proportional to 3,282.80, 4,927.80 and 2,051.60

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Solution

The fourth proportional to 3,282.80, 4,927.80 and 2,051.60 is: 3,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.80 : 4,927.80 = 2,051.60 : x
  2. Step 2: Convert to fraction form
    3,282.80/4,927.80 = 2,051.60/x
  3. Step 3: Cross multiply
    3,282.80x = 4,927.80 × 2,051.60
  4. Step 4: Simplify right side
    3,282.80x = 10,109,874.48
  5. Step 5: Solve for x
    x = 10,109,874.48/3,282.80
  6. Step 6: Final answer
    x = 3,079.65

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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.