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Finding the Fourth Proportional to 16,464.88, 22,721.56 and 8,911.21

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Solution

The fourth proportional to 16,464.88, 22,721.56 and 8,911.21 is: 12,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.88 : 22,721.56 = 8,911.21 : x
  2. Step 2: Convert to fraction form
    16,464.88/22,721.56 = 8,911.21/x
  3. Step 3: Cross multiply
    16,464.88x = 22,721.56 × 8,911.21
  4. Step 4: Simplify right side
    16,464.88x = 202,476,641.41
  5. Step 5: Solve for x
    x = 202,476,641.41/16,464.88
  6. Step 6: Final answer
    x = 12,297.49

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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.