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Finding the Fourth Proportional to 3,157.36, 4,735.92 and 1,308

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Solution

The fourth proportional to 3,157.36, 4,735.92 and 1,308 is: 1,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.36 : 4,735.92 = 1,308 : x
  2. Step 2: Convert to fraction form
    3,157.36/4,735.92 = 1,308/x
  3. Step 3: Cross multiply
    3,157.36x = 4,735.92 × 1,308
  4. Step 4: Simplify right side
    3,157.36x = 6,194,583.36
  5. Step 5: Solve for x
    x = 6,194,583.36/3,157.36
  6. Step 6: Final answer
    x = 1,961.95

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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.