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Finding the Fourth Proportional to 2,686, 3,706.68 and 1,582

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Solution

The fourth proportional to 2,686, 3,706.68 and 1,582 is: 2,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686 : 3,706.68 = 1,582 : x
  2. Step 2: Convert to fraction form
    2,686/3,706.68 = 1,582/x
  3. Step 3: Cross multiply
    2,686x = 3,706.68 × 1,582
  4. Step 4: Simplify right side
    2,686x = 5,863,967.76
  5. Step 5: Solve for x
    x = 5,863,967.76/2,686
  6. Step 6: Final answer
    x = 2,183.16

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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.