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Finding the Fourth Proportional to 3,763.20, 5,644.80 and 3,446.40

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Solution

The fourth proportional to 3,763.20, 5,644.80 and 3,446.40 is: 5,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.20 : 5,644.80 = 3,446.40 : x
  2. Step 2: Convert to fraction form
    3,763.20/5,644.80 = 3,446.40/x
  3. Step 3: Cross multiply
    3,763.20x = 5,644.80 × 3,446.40
  4. Step 4: Simplify right side
    3,763.20x = 19,454,238.72
  5. Step 5: Solve for x
    x = 19,454,238.72/3,763.20
  6. Step 6: Final answer
    x = 5,169.60

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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.