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Finding the Fourth Proportional to 12,308.63, 18,462.96 and 3,074.63

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Solution

The fourth proportional to 12,308.63, 18,462.96 and 3,074.63 is: 4,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.63 : 18,462.96 = 3,074.63 : x
  2. Step 2: Convert to fraction form
    12,308.63/18,462.96 = 3,074.63/x
  3. Step 3: Cross multiply
    12,308.63x = 18,462.96 × 3,074.63
  4. Step 4: Simplify right side
    12,308.63x = 56,766,678.39
  5. Step 5: Solve for x
    x = 56,766,678.39/12,308.63
  6. Step 6: Final answer
    x = 4,611.94

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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.