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Finding the Fourth Proportional to 9,198.67, 12,694.03 and 5,421.99

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Solution

The fourth proportional to 9,198.67, 12,694.03 and 5,421.99 is: 7,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.67 : 12,694.03 = 5,421.99 : x
  2. Step 2: Convert to fraction form
    9,198.67/12,694.03 = 5,421.99/x
  3. Step 3: Cross multiply
    9,198.67x = 12,694.03 × 5,421.99
  4. Step 4: Simplify right side
    9,198.67x = 68,826,903.72
  5. Step 5: Solve for x
    x = 68,826,903.72/9,198.67
  6. Step 6: Final answer
    x = 7,482.27

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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.