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Finding the Fourth Proportional to 16,807.88, 23,201.21 and 13,213.46

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Solution

The fourth proportional to 16,807.88, 23,201.21 and 13,213.46 is: 18,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.88 : 23,201.21 = 13,213.46 : x
  2. Step 2: Convert to fraction form
    16,807.88/23,201.21 = 13,213.46/x
  3. Step 3: Cross multiply
    16,807.88x = 23,201.21 × 13,213.46
  4. Step 4: Simplify right side
    16,807.88x = 306,568,177.31
  5. Step 5: Solve for x
    x = 306,568,177.31/16,807.88
  6. Step 6: Final answer
    x = 18,239.56

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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.