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Finding the Fourth Proportional to 12,778.25, 17,634 and 7,189.25

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Solution

The fourth proportional to 12,778.25, 17,634 and 7,189.25 is: 9,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.25 : 17,634 = 7,189.25 : x
  2. Step 2: Convert to fraction form
    12,778.25/17,634 = 7,189.25/x
  3. Step 3: Cross multiply
    12,778.25x = 17,634 × 7,189.25
  4. Step 4: Simplify right side
    12,778.25x = 126,775,146.33
  5. Step 5: Solve for x
    x = 126,775,146.33/12,778.25
  6. Step 6: Final answer
    x = 9,921.17

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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.