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Finding the Fourth Proportional to 3,158.75, 4,738.50 and 1,309.64

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Solution

The fourth proportional to 3,158.75, 4,738.50 and 1,309.64 is: 1,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.75 : 4,738.50 = 1,309.64 : x
  2. Step 2: Convert to fraction form
    3,158.75/4,738.50 = 1,309.64/x
  3. Step 3: Cross multiply
    3,158.75x = 4,738.50 × 1,309.64
  4. Step 4: Simplify right side
    3,158.75x = 6,205,705.45
  5. Step 5: Solve for x
    x = 6,205,705.45/3,158.75
  6. Step 6: Final answer
    x = 1,964.61

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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.