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Finding the Fourth Proportional to 3,454.31, 5,181.47 and 857.25

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Solution

The fourth proportional to 3,454.31, 5,181.47 and 857.25 is: 1,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.31 : 5,181.47 = 857.25 : x
  2. Step 2: Convert to fraction form
    3,454.31/5,181.47 = 857.25/x
  3. Step 3: Cross multiply
    3,454.31x = 5,181.47 × 857.25
  4. Step 4: Simplify right side
    3,454.31x = 4,441,814.09
  5. Step 5: Solve for x
    x = 4,441,814.09/3,454.31
  6. Step 6: Final answer
    x = 1,285.88

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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.