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Finding the Fourth Proportional to 13,797.86, 19,040.38 and 7,829.37

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Solution

The fourth proportional to 13,797.86, 19,040.38 and 7,829.37 is: 10,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.86 : 19,040.38 = 7,829.37 : x
  2. Step 2: Convert to fraction form
    13,797.86/19,040.38 = 7,829.37/x
  3. Step 3: Cross multiply
    13,797.86x = 19,040.38 × 7,829.37
  4. Step 4: Simplify right side
    13,797.86x = 149,074,160.39
  5. Step 5: Solve for x
    x = 149,074,160.39/13,797.86
  6. Step 6: Final answer
    x = 10,804.15

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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.