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Finding the Fourth Proportional to 2,805.66, 4,208.49 and 857.88

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Solution

The fourth proportional to 2,805.66, 4,208.49 and 857.88 is: 1,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.66 : 4,208.49 = 857.88 : x
  2. Step 2: Convert to fraction form
    2,805.66/4,208.49 = 857.88/x
  3. Step 3: Cross multiply
    2,805.66x = 4,208.49 × 857.88
  4. Step 4: Simplify right side
    2,805.66x = 3,610,379.40
  5. Step 5: Solve for x
    x = 3,610,379.40/2,805.66
  6. Step 6: Final answer
    x = 1,286.82

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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.