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Finding the Fourth Proportional to 2,164.34, 2,986.52 and 1,280.22

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Solution

The fourth proportional to 2,164.34, 2,986.52 and 1,280.22 is: 1,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.34 : 2,986.52 = 1,280.22 : x
  2. Step 2: Convert to fraction form
    2,164.34/2,986.52 = 1,280.22/x
  3. Step 3: Cross multiply
    2,164.34x = 2,986.52 × 1,280.22
  4. Step 4: Simplify right side
    2,164.34x = 3,823,396.23
  5. Step 5: Solve for x
    x = 3,823,396.23/2,164.34
  6. Step 6: Final answer
    x = 1,766.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.