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Finding the Fourth Proportional to 2,858.98, 4,287.86 and 806.50

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Solution

The fourth proportional to 2,858.98, 4,287.86 and 806.50 is: 1,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.98 : 4,287.86 = 806.50 : x
  2. Step 2: Convert to fraction form
    2,858.98/4,287.86 = 806.50/x
  3. Step 3: Cross multiply
    2,858.98x = 4,287.86 × 806.50
  4. Step 4: Simplify right side
    2,858.98x = 3,458,159.09
  5. Step 5: Solve for x
    x = 3,458,159.09/2,858.98
  6. Step 6: Final answer
    x = 1,209.58

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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.