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Finding the Fourth Proportional to 941.21, 1,287.35 and 926.09

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Solution

The fourth proportional to 941.21, 1,287.35 and 926.09 is: 1,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.21 : 1,287.35 = 926.09 : x
  2. Step 2: Convert to fraction form
    941.21/1,287.35 = 926.09/x
  3. Step 3: Cross multiply
    941.21x = 1,287.35 × 926.09
  4. Step 4: Simplify right side
    941.21x = 1,192,201.96
  5. Step 5: Solve for x
    x = 1,192,201.96/941.21
  6. Step 6: Final answer
    x = 1,266.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.