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Finding the Fourth Proportional to 12,878.14, 17,770.97 and 7,135.21

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Solution

The fourth proportional to 12,878.14, 17,770.97 and 7,135.21 is: 9,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.14 : 17,770.97 = 7,135.21 : x
  2. Step 2: Convert to fraction form
    12,878.14/17,770.97 = 7,135.21/x
  3. Step 3: Cross multiply
    12,878.14x = 17,770.97 × 7,135.21
  4. Step 4: Simplify right side
    12,878.14x = 126,799,620.69
  5. Step 5: Solve for x
    x = 126,799,620.69/12,878.14
  6. Step 6: Final answer
    x = 9,846.11

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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.