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Finding the Fourth Proportional to 6,494.58, 9,738.36 and 3,161.70

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Solution

The fourth proportional to 6,494.58, 9,738.36 and 3,161.70 is: 4,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.58 : 9,738.36 = 3,161.70 : x
  2. Step 2: Convert to fraction form
    6,494.58/9,738.36 = 3,161.70/x
  3. Step 3: Cross multiply
    6,494.58x = 9,738.36 × 3,161.70
  4. Step 4: Simplify right side
    6,494.58x = 30,789,772.81
  5. Step 5: Solve for x
    x = 30,789,772.81/6,494.58
  6. Step 6: Final answer
    x = 4,740.84

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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.