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Finding the Fourth Proportional to 4,449.54, 6,674.31 and 4,178.90

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Solution

The fourth proportional to 4,449.54, 6,674.31 and 4,178.90 is: 6,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.54 : 6,674.31 = 4,178.90 : x
  2. Step 2: Convert to fraction form
    4,449.54/6,674.31 = 4,178.90/x
  3. Step 3: Cross multiply
    4,449.54x = 6,674.31 × 4,178.90
  4. Step 4: Simplify right side
    4,449.54x = 27,891,240.69
  5. Step 5: Solve for x
    x = 27,891,240.69/4,449.54
  6. Step 6: Final answer
    x = 6,268.34

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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.