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Finding the Fourth Proportional to 13,672.62, 20,489.13 and 7,427.34

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Solution

The fourth proportional to 13,672.62, 20,489.13 and 7,427.34 is: 11,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.62 : 20,489.13 = 7,427.34 : x
  2. Step 2: Convert to fraction form
    13,672.62/20,489.13 = 7,427.34/x
  3. Step 3: Cross multiply
    13,672.62x = 20,489.13 × 7,427.34
  4. Step 4: Simplify right side
    13,672.62x = 152,179,734.81
  5. Step 5: Solve for x
    x = 152,179,734.81/13,672.62
  6. Step 6: Final answer
    x = 11,130.25

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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.