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Finding the Fourth Proportional to 3,078.44, 4,616.20 and 1,025

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Solution

The fourth proportional to 3,078.44, 4,616.20 and 1,025 is: 1,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.44 : 4,616.20 = 1,025 : x
  2. Step 2: Convert to fraction form
    3,078.44/4,616.20 = 1,025/x
  3. Step 3: Cross multiply
    3,078.44x = 4,616.20 × 1,025
  4. Step 4: Simplify right side
    3,078.44x = 4,731,605
  5. Step 5: Solve for x
    x = 4,731,605/3,078.44
  6. Step 6: Final answer
    x = 1,537.01

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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.