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Finding the Fourth Proportional to 2,077.10, 3,116.72 and 845.42

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Solution

The fourth proportional to 2,077.10, 3,116.72 and 845.42 is: 1,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.10 : 3,116.72 = 845.42 : x
  2. Step 2: Convert to fraction form
    2,077.10/3,116.72 = 845.42/x
  3. Step 3: Cross multiply
    2,077.10x = 3,116.72 × 845.42
  4. Step 4: Simplify right side
    2,077.10x = 2,634,923.95
  5. Step 5: Solve for x
    x = 2,634,923.95/2,077.10
  6. Step 6: Final answer
    x = 1,268.56

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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.