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Finding the Fourth Proportional to 13,729, 20,573.82 and 7,475.44

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Solution

The fourth proportional to 13,729, 20,573.82 and 7,475.44 is: 11,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729 : 20,573.82 = 7,475.44 : x
  2. Step 2: Convert to fraction form
    13,729/20,573.82 = 7,475.44/x
  3. Step 3: Cross multiply
    13,729x = 20,573.82 × 7,475.44
  4. Step 4: Simplify right side
    13,729x = 153,798,356.98
  5. Step 5: Solve for x
    x = 153,798,356.98/13,729
  6. Step 6: Final answer
    x = 11,202.44

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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.