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Finding the Fourth Proportional to 3,855.54, 5,783.75 and 1,258.48

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Solution

The fourth proportional to 3,855.54, 5,783.75 and 1,258.48 is: 1,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.54 : 5,783.75 = 1,258.48 : x
  2. Step 2: Convert to fraction form
    3,855.54/5,783.75 = 1,258.48/x
  3. Step 3: Cross multiply
    3,855.54x = 5,783.75 × 1,258.48
  4. Step 4: Simplify right side
    3,855.54x = 7,278,733.70
  5. Step 5: Solve for x
    x = 7,278,733.70/3,855.54
  6. Step 6: Final answer
    x = 1,887.86

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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.