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Finding the Fourth Proportional to 2,961.21, 4,441.23 and 986.52

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Solution

The fourth proportional to 2,961.21, 4,441.23 and 986.52 is: 1,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.21 : 4,441.23 = 986.52 : x
  2. Step 2: Convert to fraction form
    2,961.21/4,441.23 = 986.52/x
  3. Step 3: Cross multiply
    2,961.21x = 4,441.23 × 986.52
  4. Step 4: Simplify right side
    2,961.21x = 4,381,362.22
  5. Step 5: Solve for x
    x = 4,381,362.22/2,961.21
  6. Step 6: Final answer
    x = 1,479.59

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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.