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Finding the Fourth Proportional to 13,771.51, 20,644.75 and 5,000.22

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Solution

The fourth proportional to 13,771.51, 20,644.75 and 5,000.22 is: 7,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.51 : 20,644.75 = 5,000.22 : x
  2. Step 2: Convert to fraction form
    13,771.51/20,644.75 = 5,000.22/x
  3. Step 3: Cross multiply
    13,771.51x = 20,644.75 × 5,000.22
  4. Step 4: Simplify right side
    13,771.51x = 103,228,291.85
  5. Step 5: Solve for x
    x = 103,228,291.85/13,771.51
  6. Step 6: Final answer
    x = 7,495.79

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