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Finding the Fourth Proportional to 12,107.66, 18,108.37 and 10,782.80

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Solution

The fourth proportional to 12,107.66, 18,108.37 and 10,782.80 is: 16,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.66 : 18,108.37 = 10,782.80 : x
  2. Step 2: Convert to fraction form
    12,107.66/18,108.37 = 10,782.80/x
  3. Step 3: Cross multiply
    12,107.66x = 18,108.37 × 10,782.80
  4. Step 4: Simplify right side
    12,107.66x = 195,258,932.04
  5. Step 5: Solve for x
    x = 195,258,932.04/12,107.66
  6. Step 6: Final answer
    x = 16,126.89

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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.