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Finding the Fourth Proportional to 12,417.96, 18,628.20 and 4,098

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Solution

The fourth proportional to 12,417.96, 18,628.20 and 4,098 is: 6,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.96 : 18,628.20 = 4,098 : x
  2. Step 2: Convert to fraction form
    12,417.96/18,628.20 = 4,098/x
  3. Step 3: Cross multiply
    12,417.96x = 18,628.20 × 4,098
  4. Step 4: Simplify right side
    12,417.96x = 76,338,363.60
  5. Step 5: Solve for x
    x = 76,338,363.60/12,417.96
  6. Step 6: Final answer
    x = 6,147.42

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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.