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Finding the Fourth Proportional to 2,380.80, 3,284.52 and 1,386

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Solution

The fourth proportional to 2,380.80, 3,284.52 and 1,386 is: 1,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.80 : 3,284.52 = 1,386 : x
  2. Step 2: Convert to fraction form
    2,380.80/3,284.52 = 1,386/x
  3. Step 3: Cross multiply
    2,380.80x = 3,284.52 × 1,386
  4. Step 4: Simplify right side
    2,380.80x = 4,552,344.72
  5. Step 5: Solve for x
    x = 4,552,344.72/2,380.80
  6. Step 6: Final answer
    x = 1,912.11

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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.