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Finding the Fourth Proportional to 12,645.84, 17,447.76 and 8,169.78

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Solution

The fourth proportional to 12,645.84, 17,447.76 and 8,169.78 is: 11,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.84 : 17,447.76 = 8,169.78 : x
  2. Step 2: Convert to fraction form
    12,645.84/17,447.76 = 8,169.78/x
  3. Step 3: Cross multiply
    12,645.84x = 17,447.76 × 8,169.78
  4. Step 4: Simplify right side
    12,645.84x = 142,544,360.69
  5. Step 5: Solve for x
    x = 142,544,360.69/12,645.84
  6. Step 6: Final answer
    x = 11,272.04

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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.