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Finding the Fourth Proportional to 6,297.66, 8,690.04 and 3,779.88

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Solution

The fourth proportional to 6,297.66, 8,690.04 and 3,779.88 is: 5,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.66 : 8,690.04 = 3,779.88 : x
  2. Step 2: Convert to fraction form
    6,297.66/8,690.04 = 3,779.88/x
  3. Step 3: Cross multiply
    6,297.66x = 8,690.04 × 3,779.88
  4. Step 4: Simplify right side
    6,297.66x = 32,847,308.40
  5. Step 5: Solve for x
    x = 32,847,308.40/6,297.66
  6. Step 6: Final answer
    x = 5,215.80

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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.