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Finding the Fourth Proportional to 7,198.74, 9,930.46 and 4,956.72

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Solution

The fourth proportional to 7,198.74, 9,930.46 and 4,956.72 is: 6,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.74 : 9,930.46 = 4,956.72 : x
  2. Step 2: Convert to fraction form
    7,198.74/9,930.46 = 4,956.72/x
  3. Step 3: Cross multiply
    7,198.74x = 9,930.46 × 4,956.72
  4. Step 4: Simplify right side
    7,198.74x = 49,222,504.25
  5. Step 5: Solve for x
    x = 49,222,504.25/7,198.74
  6. Step 6: Final answer
    x = 6,837.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.