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Finding the Fourth Proportional to 6,198.32, 8,555 and 3,715.76

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Solution

The fourth proportional to 6,198.32, 8,555 and 3,715.76 is: 5,128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.32 : 8,555 = 3,715.76 : x
  2. Step 2: Convert to fraction form
    6,198.32/8,555 = 3,715.76/x
  3. Step 3: Cross multiply
    6,198.32x = 8,555 × 3,715.76
  4. Step 4: Simplify right side
    6,198.32x = 31,788,326.80
  5. Step 5: Solve for x
    x = 31,788,326.80/6,198.32
  6. Step 6: Final answer
    x = 5,128.54

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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.