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Finding the Fourth Proportional to 12,807.25, 17,675.17 and 7,772.75

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Solution

The fourth proportional to 12,807.25, 17,675.17 and 7,772.75 is: 10,727.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.25 : 17,675.17 = 7,772.75 : x
  2. Step 2: Convert to fraction form
    12,807.25/17,675.17 = 7,772.75/x
  3. Step 3: Cross multiply
    12,807.25x = 17,675.17 × 7,772.75
  4. Step 4: Simplify right side
    12,807.25x = 137,384,636.09
  5. Step 5: Solve for x
    x = 137,384,636.09/12,807.25
  6. Step 6: Final answer
    x = 10,727.10

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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.