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Finding the Fourth Proportional to 4,149, 5,725.62 and 2,286

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Solution

The fourth proportional to 4,149, 5,725.62 and 2,286 is: 3,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149 : 5,725.62 = 2,286 : x
  2. Step 2: Convert to fraction form
    4,149/5,725.62 = 2,286/x
  3. Step 3: Cross multiply
    4,149x = 5,725.62 × 2,286
  4. Step 4: Simplify right side
    4,149x = 13,088,767.32
  5. Step 5: Solve for x
    x = 13,088,767.32/4,149
  6. Step 6: Final answer
    x = 3,154.68

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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.