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Finding the Fourth Proportional to 8,198.71, 12,303.97 and 5,559.68

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Solution

The fourth proportional to 8,198.71, 12,303.97 and 5,559.68 is: 8,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.71 : 12,303.97 = 5,559.68 : x
  2. Step 2: Convert to fraction form
    8,198.71/12,303.97 = 5,559.68/x
  3. Step 3: Cross multiply
    8,198.71x = 12,303.97 × 5,559.68
  4. Step 4: Simplify right side
    8,198.71x = 68,406,152.79
  5. Step 5: Solve for x
    x = 68,406,152.79/8,198.71
  6. Step 6: Final answer
    x = 8,343.53

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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.