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Finding the Fourth Proportional to 3,849, 5,309.04 and 2,855.16

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Solution

The fourth proportional to 3,849, 5,309.04 and 2,855.16 is: 3,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849 : 5,309.04 = 2,855.16 : x
  2. Step 2: Convert to fraction form
    3,849/5,309.04 = 2,855.16/x
  3. Step 3: Cross multiply
    3,849x = 5,309.04 × 2,855.16
  4. Step 4: Simplify right side
    3,849x = 15,158,158.65
  5. Step 5: Solve for x
    x = 15,158,158.65/3,849
  6. Step 6: Final answer
    x = 3,938.21

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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.