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Finding the Fourth Proportional to 12,425.25, 17,147.70 and 6,836.25

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Solution

The fourth proportional to 12,425.25, 17,147.70 and 6,836.25 is: 9,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.25 : 17,147.70 = 6,836.25 : x
  2. Step 2: Convert to fraction form
    12,425.25/17,147.70 = 6,836.25/x
  3. Step 3: Cross multiply
    12,425.25x = 17,147.70 × 6,836.25
  4. Step 4: Simplify right side
    12,425.25x = 117,225,964.13
  5. Step 5: Solve for x
    x = 117,225,964.13/12,425.25
  6. Step 6: Final answer
    x = 9,434.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.