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Finding the Fourth Proportional to 2,807.75, 4,211.80 and 859.97

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Solution

The fourth proportional to 2,807.75, 4,211.80 and 859.97 is: 1,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.75 : 4,211.80 = 859.97 : x
  2. Step 2: Convert to fraction form
    2,807.75/4,211.80 = 859.97/x
  3. Step 3: Cross multiply
    2,807.75x = 4,211.80 × 859.97
  4. Step 4: Simplify right side
    2,807.75x = 3,622,021.65
  5. Step 5: Solve for x
    x = 3,622,021.65/2,807.75
  6. Step 6: Final answer
    x = 1,290.01

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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.