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Finding the Fourth Proportional to 12,674.79, 18,991.67 and 7,729.47

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Solution

The fourth proportional to 12,674.79, 18,991.67 and 7,729.47 is: 11,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.79 : 18,991.67 = 7,729.47 : x
  2. Step 2: Convert to fraction form
    12,674.79/18,991.67 = 7,729.47/x
  3. Step 3: Cross multiply
    12,674.79x = 18,991.67 × 7,729.47
  4. Step 4: Simplify right side
    12,674.79x = 146,795,504.87
  5. Step 5: Solve for x
    x = 146,795,504.87/12,674.79
  6. Step 6: Final answer
    x = 11,581.69

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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.