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Finding the Fourth Proportional to 3,081.44, 4,620.72 and 1,028

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Solution

The fourth proportional to 3,081.44, 4,620.72 and 1,028 is: 1,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.44 : 4,620.72 = 1,028 : x
  2. Step 2: Convert to fraction form
    3,081.44/4,620.72 = 1,028/x
  3. Step 3: Cross multiply
    3,081.44x = 4,620.72 × 1,028
  4. Step 4: Simplify right side
    3,081.44x = 4,750,100.16
  5. Step 5: Solve for x
    x = 4,750,100.16/3,081.44
  6. Step 6: Final answer
    x = 1,541.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.