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Finding the Fourth Proportional to 13,693.40, 18,896.48 and 7,725

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Solution

The fourth proportional to 13,693.40, 18,896.48 and 7,725 is: 10,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.40 : 18,896.48 = 7,725 : x
  2. Step 2: Convert to fraction form
    13,693.40/18,896.48 = 7,725/x
  3. Step 3: Cross multiply
    13,693.40x = 18,896.48 × 7,725
  4. Step 4: Simplify right side
    13,693.40x = 145,975,308
  5. Step 5: Solve for x
    x = 145,975,308/13,693.40
  6. Step 6: Final answer
    x = 10,660.27

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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.