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Finding the Fourth Proportional to 6,198.42, 8,557.15 and 4,779

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Solution

The fourth proportional to 6,198.42, 8,557.15 and 4,779 is: 6,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.42 : 8,557.15 = 4,779 : x
  2. Step 2: Convert to fraction form
    6,198.42/8,557.15 = 4,779/x
  3. Step 3: Cross multiply
    6,198.42x = 8,557.15 × 4,779
  4. Step 4: Simplify right side
    6,198.42x = 40,894,619.85
  5. Step 5: Solve for x
    x = 40,894,619.85/6,198.42
  6. Step 6: Final answer
    x = 6,597.59

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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.