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Finding the Fourth Proportional to 3,900.94, 5,375.54 and 2,778.78

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Solution

The fourth proportional to 3,900.94, 5,375.54 and 2,778.78 is: 3,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.94 : 5,375.54 = 2,778.78 : x
  2. Step 2: Convert to fraction form
    3,900.94/5,375.54 = 2,778.78/x
  3. Step 3: Cross multiply
    3,900.94x = 5,375.54 × 2,778.78
  4. Step 4: Simplify right side
    3,900.94x = 14,937,443.04
  5. Step 5: Solve for x
    x = 14,937,443.04/3,900.94
  6. Step 6: Final answer
    x = 3,829.19

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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.