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Finding the Fourth Proportional to 14,299.56, 19,731.06 and 8,990.64

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Solution

The fourth proportional to 14,299.56, 19,731.06 and 8,990.64 is: 12,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.56 : 19,731.06 = 8,990.64 : x
  2. Step 2: Convert to fraction form
    14,299.56/19,731.06 = 8,990.64/x
  3. Step 3: Cross multiply
    14,299.56x = 19,731.06 × 8,990.64
  4. Step 4: Simplify right side
    14,299.56x = 177,394,857.28
  5. Step 5: Solve for x
    x = 177,394,857.28/14,299.56
  6. Step 6: Final answer
    x = 12,405.62

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Why These Related Problems?

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