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Finding the Fourth Proportional to 3,280.41, 4,919.78 and 971.37

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Solution

The fourth proportional to 3,280.41, 4,919.78 and 971.37 is: 1,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.41 : 4,919.78 = 971.37 : x
  2. Step 2: Convert to fraction form
    3,280.41/4,919.78 = 971.37/x
  3. Step 3: Cross multiply
    3,280.41x = 4,919.78 × 971.37
  4. Step 4: Simplify right side
    3,280.41x = 4,778,921.84
  5. Step 5: Solve for x
    x = 4,778,921.84/3,280.41
  6. Step 6: Final answer
    x = 1,456.81

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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.