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Finding the Fourth Proportional to 13,661.87, 20,493.41 and 6,647.67

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Solution

The fourth proportional to 13,661.87, 20,493.41 and 6,647.67 is: 9,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.87 : 20,493.41 = 6,647.67 : x
  2. Step 2: Convert to fraction form
    13,661.87/20,493.41 = 6,647.67/x
  3. Step 3: Cross multiply
    13,661.87x = 20,493.41 × 6,647.67
  4. Step 4: Simplify right side
    13,661.87x = 136,233,393.62
  5. Step 5: Solve for x
    x = 136,233,393.62/13,661.87
  6. Step 6: Final answer
    x = 9,971.80

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1.5x scale

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.