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Finding the Fourth Proportional to 13,811.80, 20,725.80 and 5,047.60

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Solution

The fourth proportional to 13,811.80, 20,725.80 and 5,047.60 is: 7,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.80 : 20,725.80 = 5,047.60 : x
  2. Step 2: Convert to fraction form
    13,811.80/20,725.80 = 5,047.60/x
  3. Step 3: Cross multiply
    13,811.80x = 20,725.80 × 5,047.60
  4. Step 4: Simplify right side
    13,811.80x = 104,615,548.08
  5. Step 5: Solve for x
    x = 104,615,548.08/13,811.80
  6. Step 6: Final answer
    x = 7,574.36

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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.