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Finding the Fourth Proportional to 13,112, 19,680.96 and 6,956

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Solution

The fourth proportional to 13,112, 19,680.96 and 6,956 is: 10,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,112 : 19,680.96 = 6,956 : x
  2. Step 2: Convert to fraction form
    13,112/19,680.96 = 6,956/x
  3. Step 3: Cross multiply
    13,112x = 19,680.96 × 6,956
  4. Step 4: Simplify right side
    13,112x = 136,900,757.76
  5. Step 5: Solve for x
    x = 136,900,757.76/13,112
  6. Step 6: Final answer
    x = 10,440.88

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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.