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Finding the Fourth Proportional to 12,670.41, 17,485.16 and 7,081.41

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Solution

The fourth proportional to 12,670.41, 17,485.16 and 7,081.41 is: 9,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.41 : 17,485.16 = 7,081.41 : x
  2. Step 2: Convert to fraction form
    12,670.41/17,485.16 = 7,081.41/x
  3. Step 3: Cross multiply
    12,670.41x = 17,485.16 × 7,081.41
  4. Step 4: Simplify right side
    12,670.41x = 123,819,551.47
  5. Step 5: Solve for x
    x = 123,819,551.47/12,670.41
  6. Step 6: Final answer
    x = 9,772.34

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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.