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Finding the Fourth Proportional to 2,706.40, 4,067.70 and 2,657.80

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Solution

The fourth proportional to 2,706.40, 4,067.70 and 2,657.80 is: 3,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.40 : 4,067.70 = 2,657.80 : x
  2. Step 2: Convert to fraction form
    2,706.40/4,067.70 = 2,657.80/x
  3. Step 3: Cross multiply
    2,706.40x = 4,067.70 × 2,657.80
  4. Step 4: Simplify right side
    2,706.40x = 10,811,133.06
  5. Step 5: Solve for x
    x = 10,811,133.06/2,706.40
  6. Step 6: Final answer
    x = 3,994.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.