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Finding the Fourth Proportional to 3,977.83, 5,966.84 and 3,396.84

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Solution

The fourth proportional to 3,977.83, 5,966.84 and 3,396.84 is: 5,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.83 : 5,966.84 = 3,396.84 : x
  2. Step 2: Convert to fraction form
    3,977.83/5,966.84 = 3,396.84/x
  3. Step 3: Cross multiply
    3,977.83x = 5,966.84 × 3,396.84
  4. Step 4: Simplify right side
    3,977.83x = 20,268,400.79
  5. Step 5: Solve for x
    x = 20,268,400.79/3,977.83
  6. Step 6: Final answer
    x = 5,095.34

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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.