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Finding the Fourth Proportional to 2,052.78, 3,078.78 and 1,012.43

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Solution

The fourth proportional to 2,052.78, 3,078.78 and 1,012.43 is: 1,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.78 : 3,078.78 = 1,012.43 : x
  2. Step 2: Convert to fraction form
    2,052.78/3,078.78 = 1,012.43/x
  3. Step 3: Cross multiply
    2,052.78x = 3,078.78 × 1,012.43
  4. Step 4: Simplify right side
    2,052.78x = 3,117,033.84
  5. Step 5: Solve for x
    x = 3,117,033.84/2,052.78
  6. Step 6: Final answer
    x = 1,518.45

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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.