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Finding the Fourth Proportional to 2,741.38, 4,111.61 and 986.03

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Solution

The fourth proportional to 2,741.38, 4,111.61 and 986.03 is: 1,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.38 : 4,111.61 = 986.03 : x
  2. Step 2: Convert to fraction form
    2,741.38/4,111.61 = 986.03/x
  3. Step 3: Cross multiply
    2,741.38x = 4,111.61 × 986.03
  4. Step 4: Simplify right side
    2,741.38x = 4,054,145.32
  5. Step 5: Solve for x
    x = 4,054,145.32/2,741.38
  6. Step 6: Final answer
    x = 1,478.87

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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.