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Finding the Fourth Proportional to 38,745.44, 53,466.32 and 21,752

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Solution

The fourth proportional to 38,745.44, 53,466.32 and 21,752 is: 30,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,745.44 : 53,466.32 = 21,752 : x
  2. Step 2: Convert to fraction form
    38,745.44/53,466.32 = 21,752/x
  3. Step 3: Cross multiply
    38,745.44x = 53,466.32 × 21,752
  4. Step 4: Simplify right side
    38,745.44x = 1,162,999,392.64
  5. Step 5: Solve for x
    x = 1,162,999,392.64/38,745.44
  6. Step 6: Final answer
    x = 30,016.42

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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.