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Finding the Fourth Proportional to 11,731.29, 16,193.58 and 7,757.80

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Solution

The fourth proportional to 11,731.29, 16,193.58 and 7,757.80 is: 10,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.29 : 16,193.58 = 7,757.80 : x
  2. Step 2: Convert to fraction form
    11,731.29/16,193.58 = 7,757.80/x
  3. Step 3: Cross multiply
    11,731.29x = 16,193.58 × 7,757.80
  4. Step 4: Simplify right side
    11,731.29x = 125,626,554.92
  5. Step 5: Solve for x
    x = 125,626,554.92/11,731.29
  6. Step 6: Final answer
    x = 10,708.67

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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.