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Finding the Fourth Proportional to 16,828, 23,223.12 and 9,376.48

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Solution

The fourth proportional to 16,828, 23,223.12 and 9,376.48 is: 12,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828 : 23,223.12 = 9,376.48 : x
  2. Step 2: Convert to fraction form
    16,828/23,223.12 = 9,376.48/x
  3. Step 3: Cross multiply
    16,828x = 23,223.12 × 9,376.48
  4. Step 4: Simplify right side
    16,828x = 217,751,120.22
  5. Step 5: Solve for x
    x = 217,751,120.22/16,828
  6. Step 6: Final answer
    x = 12,939.81

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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.