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Finding the Fourth Proportional to 2,784.42, 3,833.73 and 2,119.14

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Solution

The fourth proportional to 2,784.42, 3,833.73 and 2,119.14 is: 2,917.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.42 : 3,833.73 = 2,119.14 : x
  2. Step 2: Convert to fraction form
    2,784.42/3,833.73 = 2,119.14/x
  3. Step 3: Cross multiply
    2,784.42x = 3,833.73 × 2,119.14
  4. Step 4: Simplify right side
    2,784.42x = 8,124,210.59
  5. Step 5: Solve for x
    x = 8,124,210.59/2,784.42
  6. Step 6: Final answer
    x = 2,917.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.