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Finding the Fourth Proportional to 13,978.68, 20,969.04 and 3,983.28

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Solution

The fourth proportional to 13,978.68, 20,969.04 and 3,983.28 is: 5,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.68 : 20,969.04 = 3,983.28 : x
  2. Step 2: Convert to fraction form
    13,978.68/20,969.04 = 3,983.28/x
  3. Step 3: Cross multiply
    13,978.68x = 20,969.04 × 3,983.28
  4. Step 4: Simplify right side
    13,978.68x = 83,525,557.65
  5. Step 5: Solve for x
    x = 83,525,557.65/13,978.68
  6. Step 6: Final answer
    x = 5,975.21

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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.