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Finding the Fourth Proportional to 2,700.57, 4,051 and 851.83

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Solution

The fourth proportional to 2,700.57, 4,051 and 851.83 is: 1,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.57 : 4,051 = 851.83 : x
  2. Step 2: Convert to fraction form
    2,700.57/4,051 = 851.83/x
  3. Step 3: Cross multiply
    2,700.57x = 4,051 × 851.83
  4. Step 4: Simplify right side
    2,700.57x = 3,450,763.33
  5. Step 5: Solve for x
    x = 3,450,763.33/2,700.57
  6. Step 6: Final answer
    x = 1,277.79

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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.