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Finding the Fourth Proportional to 16,821.25, 23,212.21 and 10,102.88

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Solution

The fourth proportional to 16,821.25, 23,212.21 and 10,102.88 is: 13,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.25 : 23,212.21 = 10,102.88 : x
  2. Step 2: Convert to fraction form
    16,821.25/23,212.21 = 10,102.88/x
  3. Step 3: Cross multiply
    16,821.25x = 23,212.21 × 10,102.88
  4. Step 4: Simplify right side
    16,821.25x = 234,510,121.65
  5. Step 5: Solve for x
    x = 234,510,121.65/16,821.25
  6. Step 6: Final answer
    x = 13,941.31

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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.