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Finding the Fourth Proportional to 3,680.82, 5,498.10 and 3,065.09

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Solution

The fourth proportional to 3,680.82, 5,498.10 and 3,065.09 is: 4,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.82 : 5,498.10 = 3,065.09 : x
  2. Step 2: Convert to fraction form
    3,680.82/5,498.10 = 3,065.09/x
  3. Step 3: Cross multiply
    3,680.82x = 5,498.10 × 3,065.09
  4. Step 4: Simplify right side
    3,680.82x = 16,852,143.84
  5. Step 5: Solve for x
    x = 16,852,143.84/3,680.82
  6. Step 6: Final answer
    x = 4,578.37

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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.