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Finding the Fourth Proportional to 3,843.84, 5,738.08 and 3,260.80

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Solution

The fourth proportional to 3,843.84, 5,738.08 and 3,260.80 is: 4,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.84 : 5,738.08 = 3,260.80 : x
  2. Step 2: Convert to fraction form
    3,843.84/5,738.08 = 3,260.80/x
  3. Step 3: Cross multiply
    3,843.84x = 5,738.08 × 3,260.80
  4. Step 4: Simplify right side
    3,843.84x = 18,710,731.26
  5. Step 5: Solve for x
    x = 18,710,731.26/3,843.84
  6. Step 6: Final answer
    x = 4,867.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.