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Finding the Fourth Proportional to 2,686.87, 3,704.23 and 2,015.70

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Solution

The fourth proportional to 2,686.87, 3,704.23 and 2,015.70 is: 2,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.87 : 3,704.23 = 2,015.70 : x
  2. Step 2: Convert to fraction form
    2,686.87/3,704.23 = 2,015.70/x
  3. Step 3: Cross multiply
    2,686.87x = 3,704.23 × 2,015.70
  4. Step 4: Simplify right side
    2,686.87x = 7,466,616.41
  5. Step 5: Solve for x
    x = 7,466,616.41/2,686.87
  6. Step 6: Final answer
    x = 2,778.93

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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.