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Finding the Fourth Proportional to 2,784.42, 3,842.00 and 1,944.82

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Solution

The fourth proportional to 2,784.42, 3,842.00 and 1,944.82 is: 2,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.42 : 3,842.00 = 1,944.82 : x
  2. Step 2: Convert to fraction form
    2,784.42/3,842.00 = 1,944.82/x
  3. Step 3: Cross multiply
    2,784.42x = 3,842.00 × 1,944.82
  4. Step 4: Simplify right side
    2,784.42x = 7,472,000.81
  5. Step 5: Solve for x
    x = 7,472,000.81/2,784.42
  6. Step 6: Final answer
    x = 2,683.50

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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.