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Finding the Fourth Proportional to 12,669.84, 17,480.88 and 8,193.78

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Solution

The fourth proportional to 12,669.84, 17,480.88 and 8,193.78 is: 11,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,669.84 : 17,480.88 = 8,193.78 : x
  2. Step 2: Convert to fraction form
    12,669.84/17,480.88 = 8,193.78/x
  3. Step 3: Cross multiply
    12,669.84x = 17,480.88 × 8,193.78
  4. Step 4: Simplify right side
    12,669.84x = 143,234,484.93
  5. Step 5: Solve for x
    x = 143,234,484.93/12,669.84
  6. Step 6: Final answer
    x = 11,305.15

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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.