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Finding the Fourth Proportional to 7,690.68, 11,536.08 and 4,226.04

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Solution

The fourth proportional to 7,690.68, 11,536.08 and 4,226.04 is: 6,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690.68 : 11,536.08 = 4,226.04 : x
  2. Step 2: Convert to fraction form
    7,690.68/11,536.08 = 4,226.04/x
  3. Step 3: Cross multiply
    7,690.68x = 11,536.08 × 4,226.04
  4. Step 4: Simplify right side
    7,690.68x = 48,751,935.52
  5. Step 5: Solve for x
    x = 48,751,935.52/7,690.68
  6. Step 6: Final answer
    x = 6,339.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.