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Finding the Fourth Proportional to 13,825.50, 20,738.25 and 4,591.50

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Solution

The fourth proportional to 13,825.50, 20,738.25 and 4,591.50 is: 6,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.50 : 20,738.25 = 4,591.50 : x
  2. Step 2: Convert to fraction form
    13,825.50/20,738.25 = 4,591.50/x
  3. Step 3: Cross multiply
    13,825.50x = 20,738.25 × 4,591.50
  4. Step 4: Simplify right side
    13,825.50x = 95,219,674.88
  5. Step 5: Solve for x
    x = 95,219,674.88/13,825.50
  6. Step 6: Final answer
    x = 6,887.25

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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.