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Finding the Fourth Proportional to 13,274.96, 19,902.56 and 8,011.76

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Solution

The fourth proportional to 13,274.96, 19,902.56 and 8,011.76 is: 12,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.96 : 19,902.56 = 8,011.76 : x
  2. Step 2: Convert to fraction form
    13,274.96/19,902.56 = 8,011.76/x
  3. Step 3: Cross multiply
    13,274.96x = 19,902.56 × 8,011.76
  4. Step 4: Simplify right side
    13,274.96x = 159,454,394.53
  5. Step 5: Solve for x
    x = 159,454,394.53/13,274.96
  6. Step 6: Final answer
    x = 12,011.67

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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.