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Finding the Fourth Proportional to 2,720.96, 4,082.40 and 989.76

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Solution

The fourth proportional to 2,720.96, 4,082.40 and 989.76 is: 1,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.96 : 4,082.40 = 989.76 : x
  2. Step 2: Convert to fraction form
    2,720.96/4,082.40 = 989.76/x
  3. Step 3: Cross multiply
    2,720.96x = 4,082.40 × 989.76
  4. Step 4: Simplify right side
    2,720.96x = 4,040,596.22
  5. Step 5: Solve for x
    x = 4,040,596.22/2,720.96
  6. Step 6: Final answer
    x = 1,484.99

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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.