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Finding the Fourth Proportional to 12,825.44, 17,698.56 and 7,160.44

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Solution

The fourth proportional to 12,825.44, 17,698.56 and 7,160.44 is: 9,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.44 : 17,698.56 = 7,160.44 : x
  2. Step 2: Convert to fraction form
    12,825.44/17,698.56 = 7,160.44/x
  3. Step 3: Cross multiply
    12,825.44x = 17,698.56 × 7,160.44
  4. Step 4: Simplify right side
    12,825.44x = 126,729,476.97
  5. Step 5: Solve for x
    x = 126,729,476.97/12,825.44
  6. Step 6: Final answer
    x = 9,881.10

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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.