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Finding the Fourth Proportional to 2,627.30, 3,940.95 and 984.62

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Solution

The fourth proportional to 2,627.30, 3,940.95 and 984.62 is: 1,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.30 : 3,940.95 = 984.62 : x
  2. Step 2: Convert to fraction form
    2,627.30/3,940.95 = 984.62/x
  3. Step 3: Cross multiply
    2,627.30x = 3,940.95 × 984.62
  4. Step 4: Simplify right side
    2,627.30x = 3,880,329.57
  5. Step 5: Solve for x
    x = 3,880,329.57/2,627.30
  6. Step 6: Final answer
    x = 1,476.93

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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.