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Finding the Fourth Proportional to 11,856, 16,361.44 and 6,550.93

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Solution

The fourth proportional to 11,856, 16,361.44 and 6,550.93 is: 9,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856 : 16,361.44 = 6,550.93 : x
  2. Step 2: Convert to fraction form
    11,856/16,361.44 = 6,550.93/x
  3. Step 3: Cross multiply
    11,856x = 16,361.44 × 6,550.93
  4. Step 4: Simplify right side
    11,856x = 107,182,648.14
  5. Step 5: Solve for x
    x = 107,182,648.14/11,856
  6. Step 6: Final answer
    x = 9,040.37

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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.