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Finding the Fourth Proportional to 13,619.76, 20,428.11 and 3,760.44

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Solution

The fourth proportional to 13,619.76, 20,428.11 and 3,760.44 is: 5,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.76 : 20,428.11 = 3,760.44 : x
  2. Step 2: Convert to fraction form
    13,619.76/20,428.11 = 3,760.44/x
  3. Step 3: Cross multiply
    13,619.76x = 20,428.11 × 3,760.44
  4. Step 4: Simplify right side
    13,619.76x = 76,818,681.97
  5. Step 5: Solve for x
    x = 76,818,681.97/13,619.76
  6. Step 6: Final answer
    x = 5,640.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.