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Finding the Fourth Proportional to 21,804.72, 32,697.36 and 7,944

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Solution

The fourth proportional to 21,804.72, 32,697.36 and 7,944 is: 11,912.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804.72 : 32,697.36 = 7,944 : x
  2. Step 2: Convert to fraction form
    21,804.72/32,697.36 = 7,944/x
  3. Step 3: Cross multiply
    21,804.72x = 32,697.36 × 7,944
  4. Step 4: Simplify right side
    21,804.72x = 259,747,827.84
  5. Step 5: Solve for x
    x = 259,747,827.84/21,804.72
  6. Step 6: Final answer
    x = 11,912.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.