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Finding the Fourth Proportional to 4,489.81, 6,193.03 and 3,423.64

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Solution

The fourth proportional to 4,489.81, 6,193.03 and 3,423.64 is: 4,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.81 : 6,193.03 = 3,423.64 : x
  2. Step 2: Convert to fraction form
    4,489.81/6,193.03 = 3,423.64/x
  3. Step 3: Cross multiply
    4,489.81x = 6,193.03 × 3,423.64
  4. Step 4: Simplify right side
    4,489.81x = 21,202,705.23
  5. Step 5: Solve for x
    x = 21,202,705.23/4,489.81
  6. Step 6: Final answer
    x = 4,722.41

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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.