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Finding the Fourth Proportional to 3,082.26, 4,623.48 and 891.30

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Solution

The fourth proportional to 3,082.26, 4,623.48 and 891.30 is: 1,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.26 : 4,623.48 = 891.30 : x
  2. Step 2: Convert to fraction form
    3,082.26/4,623.48 = 891.30/x
  3. Step 3: Cross multiply
    3,082.26x = 4,623.48 × 891.30
  4. Step 4: Simplify right side
    3,082.26x = 4,120,907.72
  5. Step 5: Solve for x
    x = 4,120,907.72/3,082.26
  6. Step 6: Final answer
    x = 1,336.98

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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.