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Finding the Fourth Proportional to 16,810, 23,197.80 and 9,738.70

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Solution

The fourth proportional to 16,810, 23,197.80 and 9,738.70 is: 13,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810 : 23,197.80 = 9,738.70 : x
  2. Step 2: Convert to fraction form
    16,810/23,197.80 = 9,738.70/x
  3. Step 3: Cross multiply
    16,810x = 23,197.80 × 9,738.70
  4. Step 4: Simplify right side
    16,810x = 225,916,414.86
  5. Step 5: Solve for x
    x = 225,916,414.86/16,810
  6. Step 6: Final answer
    x = 13,439.41

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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.