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Finding the Fourth Proportional to 2,805.30, 4,208.70 and 857.50

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Solution

The fourth proportional to 2,805.30, 4,208.70 and 857.50 is: 1,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.30 : 4,208.70 = 857.50 : x
  2. Step 2: Convert to fraction form
    2,805.30/4,208.70 = 857.50/x
  3. Step 3: Cross multiply
    2,805.30x = 4,208.70 × 857.50
  4. Step 4: Simplify right side
    2,805.30x = 3,608,960.25
  5. Step 5: Solve for x
    x = 3,608,960.25/2,805.30
  6. Step 6: Final answer
    x = 1,286.48

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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.