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Finding the Fourth Proportional to 1,946.94, 2,921.72 and 850.67

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Solution

The fourth proportional to 1,946.94, 2,921.72 and 850.67 is: 1,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.94 : 2,921.72 = 850.67 : x
  2. Step 2: Convert to fraction form
    1,946.94/2,921.72 = 850.67/x
  3. Step 3: Cross multiply
    1,946.94x = 2,921.72 × 850.67
  4. Step 4: Simplify right side
    1,946.94x = 2,485,421.68
  5. Step 5: Solve for x
    x = 2,485,421.68/1,946.94
  6. Step 6: Final answer
    x = 1,276.58

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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.