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Finding the Fourth Proportional to 3,578.85, 5,368.41 and 981.99

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Solution

The fourth proportional to 3,578.85, 5,368.41 and 981.99 is: 1,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.85 : 5,368.41 = 981.99 : x
  2. Step 2: Convert to fraction form
    3,578.85/5,368.41 = 981.99/x
  3. Step 3: Cross multiply
    3,578.85x = 5,368.41 × 981.99
  4. Step 4: Simplify right side
    3,578.85x = 5,271,724.94
  5. Step 5: Solve for x
    x = 5,271,724.94/3,578.85
  6. Step 6: Final answer
    x = 1,473.02

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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.