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Finding the Fourth Proportional to 13,754.40, 20,629.20 and 4,984.80

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Solution

The fourth proportional to 13,754.40, 20,629.20 and 4,984.80 is: 7,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.40 : 20,629.20 = 4,984.80 : x
  2. Step 2: Convert to fraction form
    13,754.40/20,629.20 = 4,984.80/x
  3. Step 3: Cross multiply
    13,754.40x = 20,629.20 × 4,984.80
  4. Step 4: Simplify right side
    13,754.40x = 102,832,436.16
  5. Step 5: Solve for x
    x = 102,832,436.16/13,754.40
  6. Step 6: Final answer
    x = 7,476.33

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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.