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Finding the Fourth Proportional to 13,693.56, 18,896.81 and 7,725.08

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Solution

The fourth proportional to 13,693.56, 18,896.81 and 7,725.08 is: 10,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.56 : 18,896.81 = 7,725.08 : x
  2. Step 2: Convert to fraction form
    13,693.56/18,896.81 = 7,725.08/x
  3. Step 3: Cross multiply
    13,693.56x = 18,896.81 × 7,725.08
  4. Step 4: Simplify right side
    13,693.56x = 145,979,235.89
  5. Step 5: Solve for x
    x = 145,979,235.89/13,693.56
  6. Step 6: Final answer
    x = 10,660.43

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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.