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Finding the Fourth Proportional to 3,105.65, 4,286.64 and 1,830.65

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Solution

The fourth proportional to 3,105.65, 4,286.64 and 1,830.65 is: 2,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.65 : 4,286.64 = 1,830.65 : x
  2. Step 2: Convert to fraction form
    3,105.65/4,286.64 = 1,830.65/x
  3. Step 3: Cross multiply
    3,105.65x = 4,286.64 × 1,830.65
  4. Step 4: Simplify right side
    3,105.65x = 7,847,316.08
  5. Step 5: Solve for x
    x = 7,847,316.08/3,105.65
  6. Step 6: Final answer
    x = 2,526.79

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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.