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Finding the Fourth Proportional to 2,052.42, 3,079.54 and 1,078.30

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Solution

The fourth proportional to 2,052.42, 3,079.54 and 1,078.30 is: 1,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.42 : 3,079.54 = 1,078.30 : x
  2. Step 2: Convert to fraction form
    2,052.42/3,079.54 = 1,078.30/x
  3. Step 3: Cross multiply
    2,052.42x = 3,079.54 × 1,078.30
  4. Step 4: Simplify right side
    2,052.42x = 3,320,667.98
  5. Step 5: Solve for x
    x = 3,320,667.98/2,052.42
  6. Step 6: Final answer
    x = 1,617.93

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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.