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Finding the Fourth Proportional to 13,725.48, 20,559.06 and 7,867.56

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Solution

The fourth proportional to 13,725.48, 20,559.06 and 7,867.56 is: 11,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.48 : 20,559.06 = 7,867.56 : x
  2. Step 2: Convert to fraction form
    13,725.48/20,559.06 = 7,867.56/x
  3. Step 3: Cross multiply
    13,725.48x = 20,559.06 × 7,867.56
  4. Step 4: Simplify right side
    13,725.48x = 161,749,638.09
  5. Step 5: Solve for x
    x = 161,749,638.09/13,725.48
  6. Step 6: Final answer
    x = 11,784.63

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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.