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Finding the Fourth Proportional to 3,085.54, 4,257 and 1,758.30

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Solution

The fourth proportional to 3,085.54, 4,257 and 1,758.30 is: 2,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.54 : 4,257 = 1,758.30 : x
  2. Step 2: Convert to fraction form
    3,085.54/4,257 = 1,758.30/x
  3. Step 3: Cross multiply
    3,085.54x = 4,257 × 1,758.30
  4. Step 4: Simplify right side
    3,085.54x = 7,485,083.10
  5. Step 5: Solve for x
    x = 7,485,083.10/3,085.54
  6. Step 6: Final answer
    x = 2,425.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.