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Finding the Fourth Proportional to 3,078.78, 4,254.15 and 2,280.96

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Solution

The fourth proportional to 3,078.78, 4,254.15 and 2,280.96 is: 3,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.78 : 4,254.15 = 2,280.96 : x
  2. Step 2: Convert to fraction form
    3,078.78/4,254.15 = 2,280.96/x
  3. Step 3: Cross multiply
    3,078.78x = 4,254.15 × 2,280.96
  4. Step 4: Simplify right side
    3,078.78x = 9,703,545.98
  5. Step 5: Solve for x
    x = 9,703,545.98/3,078.78
  6. Step 6: Final answer
    x = 3,151.75

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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.