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Finding the Fourth Proportional to 11,786.88, 16,265.70 and 7,810.80

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Solution

The fourth proportional to 11,786.88, 16,265.70 and 7,810.80 is: 10,778.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.88 : 16,265.70 = 7,810.80 : x
  2. Step 2: Convert to fraction form
    11,786.88/16,265.70 = 7,810.80/x
  3. Step 3: Cross multiply
    11,786.88x = 16,265.70 × 7,810.80
  4. Step 4: Simplify right side
    11,786.88x = 127,048,129.56
  5. Step 5: Solve for x
    x = 127,048,129.56/11,786.88
  6. Step 6: Final answer
    x = 10,778.78

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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.