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Finding the Fourth Proportional to 16,945, 23,384.37 and 9,493

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Solution

The fourth proportional to 16,945, 23,384.37 and 9,493 is: 13,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,945 : 23,384.37 = 9,493 : x
  2. Step 2: Convert to fraction form
    16,945/23,384.37 = 9,493/x
  3. Step 3: Cross multiply
    16,945x = 23,384.37 × 9,493
  4. Step 4: Simplify right side
    16,945x = 221,987,824.41
  5. Step 5: Solve for x
    x = 221,987,824.41/16,945
  6. Step 6: Final answer
    x = 13,100.49

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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.