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Finding the Fourth Proportional to 3,138.75, 4,708.26 and 830.25

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Solution

The fourth proportional to 3,138.75, 4,708.26 and 830.25 is: 1,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 4,708.26 = 830.25 : x
  2. Step 2: Convert to fraction form
    3,138.75/4,708.26 = 830.25/x
  3. Step 3: Cross multiply
    3,138.75x = 4,708.26 × 830.25
  4. Step 4: Simplify right side
    3,138.75x = 3,909,032.87
  5. Step 5: Solve for x
    x = 3,909,032.87/3,138.75
  6. Step 6: Final answer
    x = 1,245.41

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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.