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Finding the Fourth Proportional to 3,082.25, 4,622.01 and 890.46

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Solution

The fourth proportional to 3,082.25, 4,622.01 and 890.46 is: 1,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.25 : 4,622.01 = 890.46 : x
  2. Step 2: Convert to fraction form
    3,082.25/4,622.01 = 890.46/x
  3. Step 3: Cross multiply
    3,082.25x = 4,622.01 × 890.46
  4. Step 4: Simplify right side
    3,082.25x = 4,115,715.02
  5. Step 5: Solve for x
    x = 4,115,715.02/3,082.25
  6. Step 6: Final answer
    x = 1,335.30

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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.