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Finding the Fourth Proportional to 16,220.16, 22,383.76 and 8,768.16

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Solution

The fourth proportional to 16,220.16, 22,383.76 and 8,768.16 is: 12,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.16 : 22,383.76 = 8,768.16 : x
  2. Step 2: Convert to fraction form
    16,220.16/22,383.76 = 8,768.16/x
  3. Step 3: Cross multiply
    16,220.16x = 22,383.76 × 8,768.16
  4. Step 4: Simplify right side
    16,220.16x = 196,264,389.08
  5. Step 5: Solve for x
    x = 196,264,389.08/16,220.16
  6. Step 6: Final answer
    x = 12,100.03

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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.