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Finding the Fourth Proportional to 13,728.26, 18,945.97 and 7,760.48

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Solution

The fourth proportional to 13,728.26, 18,945.97 and 7,760.48 is: 10,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.26 : 18,945.97 = 7,760.48 : x
  2. Step 2: Convert to fraction form
    13,728.26/18,945.97 = 7,760.48/x
  3. Step 3: Cross multiply
    13,728.26x = 18,945.97 × 7,760.48
  4. Step 4: Simplify right side
    13,728.26x = 147,029,821.27
  5. Step 5: Solve for x
    x = 147,029,821.27/13,728.26
  6. Step 6: Final answer
    x = 10,710.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.