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Finding the Fourth Proportional to 3,505.62, 5,258.40 and 908.52

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Solution

The fourth proportional to 3,505.62, 5,258.40 and 908.52 is: 1,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.62 : 5,258.40 = 908.52 : x
  2. Step 2: Convert to fraction form
    3,505.62/5,258.40 = 908.52/x
  3. Step 3: Cross multiply
    3,505.62x = 5,258.40 × 908.52
  4. Step 4: Simplify right side
    3,505.62x = 4,777,361.57
  5. Step 5: Solve for x
    x = 4,777,361.57/3,505.62
  6. Step 6: Final answer
    x = 1,362.77

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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.