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Finding the Fourth Proportional to 13,896, 19,176.54 and 7,608.48

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Solution

The fourth proportional to 13,896, 19,176.54 and 7,608.48 is: 10,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896 : 19,176.54 = 7,608.48 : x
  2. Step 2: Convert to fraction form
    13,896/19,176.54 = 7,608.48/x
  3. Step 3: Cross multiply
    13,896x = 19,176.54 × 7,608.48
  4. Step 4: Simplify right side
    13,896x = 145,904,321.06
  5. Step 5: Solve for x
    x = 145,904,321.06/13,896
  6. Step 6: Final answer
    x = 10,499.74

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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.