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Finding the Fourth Proportional to 13,811, 19,059.50 and 7,841.72

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Solution

The fourth proportional to 13,811, 19,059.50 and 7,841.72 is: 10,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811 : 19,059.50 = 7,841.72 : x
  2. Step 2: Convert to fraction form
    13,811/19,059.50 = 7,841.72/x
  3. Step 3: Cross multiply
    13,811x = 19,059.50 × 7,841.72
  4. Step 4: Simplify right side
    13,811x = 149,459,262.34
  5. Step 5: Solve for x
    x = 149,459,262.34/13,811
  6. Step 6: Final answer
    x = 10,821.76

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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.