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Finding the Fourth Proportional to 12,472.25, 17,214.65 and 7,170.14

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Solution

The fourth proportional to 12,472.25, 17,214.65 and 7,170.14 is: 9,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.25 : 17,214.65 = 7,170.14 : x
  2. Step 2: Convert to fraction form
    12,472.25/17,214.65 = 7,170.14/x
  3. Step 3: Cross multiply
    12,472.25x = 17,214.65 × 7,170.14
  4. Step 4: Simplify right side
    12,472.25x = 123,431,484.62
  5. Step 5: Solve for x
    x = 123,431,484.62/12,472.25
  6. Step 6: Final answer
    x = 9,896.49

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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.