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Finding the Fourth Proportional to 6,478.80, 9,718.20 and 3,198.30

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Solution

The fourth proportional to 6,478.80, 9,718.20 and 3,198.30 is: 4,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.80 : 9,718.20 = 3,198.30 : x
  2. Step 2: Convert to fraction form
    6,478.80/9,718.20 = 3,198.30/x
  3. Step 3: Cross multiply
    6,478.80x = 9,718.20 × 3,198.30
  4. Step 4: Simplify right side
    6,478.80x = 31,081,719.06
  5. Step 5: Solve for x
    x = 31,081,719.06/6,478.80
  6. Step 6: Final answer
    x = 4,797.45

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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.