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Finding the Fourth Proportional to 6,429.44, 9,634.80 and 3,138.80

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Solution

The fourth proportional to 6,429.44, 9,634.80 and 3,138.80 is: 4,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.44 : 9,634.80 = 3,138.80 : x
  2. Step 2: Convert to fraction form
    6,429.44/9,634.80 = 3,138.80/x
  3. Step 3: Cross multiply
    6,429.44x = 9,634.80 × 3,138.80
  4. Step 4: Simplify right side
    6,429.44x = 30,241,710.24
  5. Step 5: Solve for x
    x = 30,241,710.24/6,429.44
  6. Step 6: Final answer
    x = 4,703.63

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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.