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Finding the Fourth Proportional to 3,901.78, 5,853.76 and 2,255.32

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Solution

The fourth proportional to 3,901.78, 5,853.76 and 2,255.32 is: 3,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.78 : 5,853.76 = 2,255.32 : x
  2. Step 2: Convert to fraction form
    3,901.78/5,853.76 = 2,255.32/x
  3. Step 3: Cross multiply
    3,901.78x = 5,853.76 × 2,255.32
  4. Step 4: Simplify right side
    3,901.78x = 13,202,102.00
  5. Step 5: Solve for x
    x = 13,202,102.00/3,901.78
  6. Step 6: Final answer
    x = 3,383.61

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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.