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Finding the Fourth Proportional to 12,851.41, 17,728.10 and 7,817.17

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Solution

The fourth proportional to 12,851.41, 17,728.10 and 7,817.17 is: 10,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,851.41 : 17,728.10 = 7,817.17 : x
  2. Step 2: Convert to fraction form
    12,851.41/17,728.10 = 7,817.17/x
  3. Step 3: Cross multiply
    12,851.41x = 17,728.10 × 7,817.17
  4. Step 4: Simplify right side
    12,851.41x = 138,583,443.75
  5. Step 5: Solve for x
    x = 138,583,443.75/12,851.41
  6. Step 6: Final answer
    x = 10,783.52

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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.