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Finding the Fourth Proportional to 3,257.88, 4,889.60 and 1,311.48

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Solution

The fourth proportional to 3,257.88, 4,889.60 and 1,311.48 is: 1,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.88 : 4,889.60 = 1,311.48 : x
  2. Step 2: Convert to fraction form
    3,257.88/4,889.60 = 1,311.48/x
  3. Step 3: Cross multiply
    3,257.88x = 4,889.60 × 1,311.48
  4. Step 4: Simplify right side
    3,257.88x = 6,412,612.61
  5. Step 5: Solve for x
    x = 6,412,612.61/3,257.88
  6. Step 6: Final answer
    x = 1,968.34

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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.