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Finding the Fourth Proportional to 13,757.21, 20,644.01 and 4,992.81

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Solution

The fourth proportional to 13,757.21, 20,644.01 and 4,992.81 is: 7,492.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.21 : 20,644.01 = 4,992.81 : x
  2. Step 2: Convert to fraction form
    13,757.21/20,644.01 = 4,992.81/x
  3. Step 3: Cross multiply
    13,757.21x = 20,644.01 × 4,992.81
  4. Step 4: Simplify right side
    13,757.21x = 103,071,548.39
  5. Step 5: Solve for x
    x = 103,071,548.39/13,757.21
  6. Step 6: Final answer
    x = 7,492.18

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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.