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Finding the Fourth Proportional to 13,940.56, 20,866.56 and 10,409.68

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Solution

The fourth proportional to 13,940.56, 20,866.56 and 10,409.68 is: 15,581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.56 : 20,866.56 = 10,409.68 : x
  2. Step 2: Convert to fraction form
    13,940.56/20,866.56 = 10,409.68/x
  3. Step 3: Cross multiply
    13,940.56x = 20,866.56 × 10,409.68
  4. Step 4: Simplify right side
    13,940.56x = 217,214,212.30
  5. Step 5: Solve for x
    x = 217,214,212.30/13,940.56
  6. Step 6: Final answer
    x = 15,581.46

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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.