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Finding the Fourth Proportional to 11,405.52, 15,745.32 and 7,698.96

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Solution

The fourth proportional to 11,405.52, 15,745.32 and 7,698.96 is: 10,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.52 : 15,745.32 = 7,698.96 : x
  2. Step 2: Convert to fraction form
    11,405.52/15,745.32 = 7,698.96/x
  3. Step 3: Cross multiply
    11,405.52x = 15,745.32 × 7,698.96
  4. Step 4: Simplify right side
    11,405.52x = 121,222,588.87
  5. Step 5: Solve for x
    x = 121,222,588.87/11,405.52
  6. Step 6: Final answer
    x = 10,628.41

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