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Finding the Fourth Proportional to 12,850.84, 17,736.06 and 8,135.56

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Solution

The fourth proportional to 12,850.84, 17,736.06 and 8,135.56 is: 11,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.84 : 17,736.06 = 8,135.56 : x
  2. Step 2: Convert to fraction form
    12,850.84/17,736.06 = 8,135.56/x
  3. Step 3: Cross multiply
    12,850.84x = 17,736.06 × 8,135.56
  4. Step 4: Simplify right side
    12,850.84x = 144,292,780.29
  5. Step 5: Solve for x
    x = 144,292,780.29/12,850.84
  6. Step 6: Final answer
    x = 11,228.28

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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.