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Finding the Fourth Proportional to 14,380.94, 19,842.63 and 8,411.44

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Solution

The fourth proportional to 14,380.94, 19,842.63 and 8,411.44 is: 11,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.94 : 19,842.63 = 8,411.44 : x
  2. Step 2: Convert to fraction form
    14,380.94/19,842.63 = 8,411.44/x
  3. Step 3: Cross multiply
    14,380.94x = 19,842.63 × 8,411.44
  4. Step 4: Simplify right side
    14,380.94x = 166,905,091.69
  5. Step 5: Solve for x
    x = 166,905,091.69/14,380.94
  6. Step 6: Final answer
    x = 11,605.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.