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Finding the Fourth Proportional to 2,675, 4,014.66 and 1,376.84

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Solution

The fourth proportional to 2,675, 4,014.66 and 1,376.84 is: 2,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675 : 4,014.66 = 1,376.84 : x
  2. Step 2: Convert to fraction form
    2,675/4,014.66 = 1,376.84/x
  3. Step 3: Cross multiply
    2,675x = 4,014.66 × 1,376.84
  4. Step 4: Simplify right side
    2,675x = 5,527,544.47
  5. Step 5: Solve for x
    x = 5,527,544.47/2,675
  6. Step 6: Final answer
    x = 2,066.37

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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.