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Finding the Fourth Proportional to 2,766.69, 4,148.04 and 1,429.18

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Solution

The fourth proportional to 2,766.69, 4,148.04 and 1,429.18 is: 2,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.69 : 4,148.04 = 1,429.18 : x
  2. Step 2: Convert to fraction form
    2,766.69/4,148.04 = 1,429.18/x
  3. Step 3: Cross multiply
    2,766.69x = 4,148.04 × 1,429.18
  4. Step 4: Simplify right side
    2,766.69x = 5,928,290.80
  5. Step 5: Solve for x
    x = 5,928,290.80/2,766.69
  6. Step 6: Final answer
    x = 2,142.74

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