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Finding the Fourth Proportional to 3,280.35, 4,919.78 and 939.71

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Solution

The fourth proportional to 3,280.35, 4,919.78 and 939.71 is: 1,409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.35 : 4,919.78 = 939.71 : x
  2. Step 2: Convert to fraction form
    3,280.35/4,919.78 = 939.71/x
  3. Step 3: Cross multiply
    3,280.35x = 4,919.78 × 939.71
  4. Step 4: Simplify right side
    3,280.35x = 4,623,137.17
  5. Step 5: Solve for x
    x = 4,623,137.17/3,280.35
  6. Step 6: Final answer
    x = 1,409.34

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1.5x scale

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.