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Finding the Fourth Proportional to 12,918, 19,380.24 and 3,684

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Solution

The fourth proportional to 12,918, 19,380.24 and 3,684 is: 5,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,918 : 19,380.24 = 3,684 : x
  2. Step 2: Convert to fraction form
    12,918/19,380.24 = 3,684/x
  3. Step 3: Cross multiply
    12,918x = 19,380.24 × 3,684
  4. Step 4: Simplify right side
    12,918x = 71,396,804.16
  5. Step 5: Solve for x
    x = 71,396,804.16/12,918
  6. Step 6: Final answer
    x = 5,526.92

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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.