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Finding the Fourth Proportional to 3,910.54, 5,865.78 and 2,602.78

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Solution

The fourth proportional to 3,910.54, 5,865.78 and 2,602.78 is: 3,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.54 : 5,865.78 = 2,602.78 : x
  2. Step 2: Convert to fraction form
    3,910.54/5,865.78 = 2,602.78/x
  3. Step 3: Cross multiply
    3,910.54x = 5,865.78 × 2,602.78
  4. Step 4: Simplify right side
    3,910.54x = 15,267,334.87
  5. Step 5: Solve for x
    x = 15,267,334.87/3,910.54
  6. Step 6: Final answer
    x = 3,904.15

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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.