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Finding the Fourth Proportional to 8,198.64, 11,315.16 and 7,498.80

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Solution

The fourth proportional to 8,198.64, 11,315.16 and 7,498.80 is: 10,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.64 : 11,315.16 = 7,498.80 : x
  2. Step 2: Convert to fraction form
    8,198.64/11,315.16 = 7,498.80/x
  3. Step 3: Cross multiply
    8,198.64x = 11,315.16 × 7,498.80
  4. Step 4: Simplify right side
    8,198.64x = 84,850,121.81
  5. Step 5: Solve for x
    x = 84,850,121.81/8,198.64
  6. Step 6: Final answer
    x = 10,349.29

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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.