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Finding the Fourth Proportional to 11,918.40, 16,450.50 and 7,672.38

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Solution

The fourth proportional to 11,918.40, 16,450.50 and 7,672.38 is: 10,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.40 : 16,450.50 = 7,672.38 : x
  2. Step 2: Convert to fraction form
    11,918.40/16,450.50 = 7,672.38/x
  3. Step 3: Cross multiply
    11,918.40x = 16,450.50 × 7,672.38
  4. Step 4: Simplify right side
    11,918.40x = 126,214,487.19
  5. Step 5: Solve for x
    x = 126,214,487.19/11,918.40
  6. Step 6: Final answer
    x = 10,589.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.