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Finding the Fourth Proportional to 12,316.24, 18,464.64 and 6,469.66

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Solution

The fourth proportional to 12,316.24, 18,464.64 and 6,469.66 is: 9,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.24 : 18,464.64 = 6,469.66 : x
  2. Step 2: Convert to fraction form
    12,316.24/18,464.64 = 6,469.66/x
  3. Step 3: Cross multiply
    12,316.24x = 18,464.64 × 6,469.66
  4. Step 4: Simplify right side
    12,316.24x = 119,459,942.82
  5. Step 5: Solve for x
    x = 119,459,942.82/12,316.24
  6. Step 6: Final answer
    x = 9,699.38

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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.