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Finding the Fourth Proportional to 3,138.50, 4,707.84 and 830

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Solution

The fourth proportional to 3,138.50, 4,707.84 and 830 is: 1,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.50 : 4,707.84 = 830 : x
  2. Step 2: Convert to fraction form
    3,138.50/4,707.84 = 830/x
  3. Step 3: Cross multiply
    3,138.50x = 4,707.84 × 830
  4. Step 4: Simplify right side
    3,138.50x = 3,907,507.20
  5. Step 5: Solve for x
    x = 3,907,507.20/3,138.50
  6. Step 6: Final answer
    x = 1,245.02

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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.