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Finding the Fourth Proportional to 12,324, 18,486.96 and 4,116

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Solution

The fourth proportional to 12,324, 18,486.96 and 4,116 is: 6,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324 : 18,486.96 = 4,116 : x
  2. Step 2: Convert to fraction form
    12,324/18,486.96 = 4,116/x
  3. Step 3: Cross multiply
    12,324x = 18,486.96 × 4,116
  4. Step 4: Simplify right side
    12,324x = 76,092,327.36
  5. Step 5: Solve for x
    x = 76,092,327.36/12,324
  6. Step 6: Final answer
    x = 6,174.32

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Why These Related Problems?

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