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Finding the Fourth Proportional to 11,809.82, 17,704.13 and 10,782.60

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Solution

The fourth proportional to 11,809.82, 17,704.13 and 10,782.60 is: 16,164.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.82 : 17,704.13 = 10,782.60 : x
  2. Step 2: Convert to fraction form
    11,809.82/17,704.13 = 10,782.60/x
  3. Step 3: Cross multiply
    11,809.82x = 17,704.13 × 10,782.60
  4. Step 4: Simplify right side
    11,809.82x = 190,896,498.23
  5. Step 5: Solve for x
    x = 190,896,498.23/11,809.82
  6. Step 6: Final answer
    x = 16,164.22

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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.