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Finding the Fourth Proportional to 12,166.88, 16,787.12 and 7,196.64

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Solution

The fourth proportional to 12,166.88, 16,787.12 and 7,196.64 is: 9,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.88 : 16,787.12 = 7,196.64 : x
  2. Step 2: Convert to fraction form
    12,166.88/16,787.12 = 7,196.64/x
  3. Step 3: Cross multiply
    12,166.88x = 16,787.12 × 7,196.64
  4. Step 4: Simplify right side
    12,166.88x = 120,810,859.28
  5. Step 5: Solve for x
    x = 120,810,859.28/12,166.88
  6. Step 6: Final answer
    x = 9,929.49

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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.