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Finding the Fourth Proportional to 16,878.64, 25,295.94 and 12,214.36

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Solution

The fourth proportional to 16,878.64, 25,295.94 and 12,214.36 is: 18,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.64 : 25,295.94 = 12,214.36 : x
  2. Step 2: Convert to fraction form
    16,878.64/25,295.94 = 12,214.36/x
  3. Step 3: Cross multiply
    16,878.64x = 25,295.94 × 12,214.36
  4. Step 4: Simplify right side
    16,878.64x = 308,973,717.70
  5. Step 5: Solve for x
    x = 308,973,717.70/16,878.64
  6. Step 6: Final answer
    x = 18,305.61

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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.