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Finding the Fourth Proportional to 3,578.51, 5,367.20 and 980.84

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Solution

The fourth proportional to 3,578.51, 5,367.20 and 980.84 is: 1,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.51 : 5,367.20 = 980.84 : x
  2. Step 2: Convert to fraction form
    3,578.51/5,367.20 = 980.84/x
  3. Step 3: Cross multiply
    3,578.51x = 5,367.20 × 980.84
  4. Step 4: Simplify right side
    3,578.51x = 5,264,372.96
  5. Step 5: Solve for x
    x = 5,264,372.96/3,578.51
  6. Step 6: Final answer
    x = 1,471.11

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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.