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Finding the Fourth Proportional to 16,821.84, 23,213.21 and 9,266.68

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Solution

The fourth proportional to 16,821.84, 23,213.21 and 9,266.68 is: 12,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.84 : 23,213.21 = 9,266.68 : x
  2. Step 2: Convert to fraction form
    16,821.84/23,213.21 = 9,266.68/x
  3. Step 3: Cross multiply
    16,821.84x = 23,213.21 × 9,266.68
  4. Step 4: Simplify right side
    16,821.84x = 215,109,400.54
  5. Step 5: Solve for x
    x = 215,109,400.54/16,821.84
  6. Step 6: Final answer
    x = 12,787.51

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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.