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Finding the Fourth Proportional to 3,388.05, 5,082.08 and 922.89

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Solution

The fourth proportional to 3,388.05, 5,082.08 and 922.89 is: 1,384.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,388.05 : 5,082.08 = 922.89 : x
  2. Step 2: Convert to fraction form
    3,388.05/5,082.08 = 922.89/x
  3. Step 3: Cross multiply
    3,388.05x = 5,082.08 × 922.89
  4. Step 4: Simplify right side
    3,388.05x = 4,690,200.81
  5. Step 5: Solve for x
    x = 4,690,200.81/3,388.05
  6. Step 6: Final answer
    x = 1,384.34

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Similar ratio
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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.