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Finding the Fourth Proportional to 3,978.87, 5,968.88 and 1,382.01

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Solution

The fourth proportional to 3,978.87, 5,968.88 and 1,382.01 is: 2,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.87 : 5,968.88 = 1,382.01 : x
  2. Step 2: Convert to fraction form
    3,978.87/5,968.88 = 1,382.01/x
  3. Step 3: Cross multiply
    3,978.87x = 5,968.88 × 1,382.01
  4. Step 4: Simplify right side
    3,978.87x = 8,249,044.94
  5. Step 5: Solve for x
    x = 8,249,044.94/3,978.87
  6. Step 6: Final answer
    x = 2,073.21

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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.