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Finding the Fourth Proportional to 13,758, 20,628.96 and 5,428.32

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Solution

The fourth proportional to 13,758, 20,628.96 and 5,428.32 is: 8,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 20,628.96 = 5,428.32 : x
  2. Step 2: Convert to fraction form
    13,758/20,628.96 = 5,428.32/x
  3. Step 3: Cross multiply
    13,758x = 20,628.96 × 5,428.32
  4. Step 4: Simplify right side
    13,758x = 111,980,596.15
  5. Step 5: Solve for x
    x = 111,980,596.15/13,758
  6. Step 6: Final answer
    x = 8,139.31

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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.