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Finding the Fourth Proportional to 2,805.37, 4,207.90 and 857.57

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Solution

The fourth proportional to 2,805.37, 4,207.90 and 857.57 is: 1,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.37 : 4,207.90 = 857.57 : x
  2. Step 2: Convert to fraction form
    2,805.37/4,207.90 = 857.57/x
  3. Step 3: Cross multiply
    2,805.37x = 4,207.90 × 857.57
  4. Step 4: Simplify right side
    2,805.37x = 3,608,570.90
  5. Step 5: Solve for x
    x = 3,608,570.90/2,805.37
  6. Step 6: Final answer
    x = 1,286.31

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1.5x scale

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.