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Finding the Fourth Proportional to 3,138.76, 4,707.64 and 830.44

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Solution

The fourth proportional to 3,138.76, 4,707.64 and 830.44 is: 1,245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.76 : 4,707.64 = 830.44 : x
  2. Step 2: Convert to fraction form
    3,138.76/4,707.64 = 830.44/x
  3. Step 3: Cross multiply
    3,138.76x = 4,707.64 × 830.44
  4. Step 4: Simplify right side
    3,138.76x = 3,909,412.56
  5. Step 5: Solve for x
    x = 3,909,412.56/3,138.76
  6. Step 6: Final answer
    x = 1,245.53

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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.