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Finding the Fourth Proportional to 2,687, 3,708.06 and 1,583

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Solution

The fourth proportional to 2,687, 3,708.06 and 1,583 is: 2,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687 : 3,708.06 = 1,583 : x
  2. Step 2: Convert to fraction form
    2,687/3,708.06 = 1,583/x
  3. Step 3: Cross multiply
    2,687x = 3,708.06 × 1,583
  4. Step 4: Simplify right side
    2,687x = 5,869,858.98
  5. Step 5: Solve for x
    x = 5,869,858.98/2,687
  6. Step 6: Final answer
    x = 2,184.54

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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.