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Finding the Fourth Proportional to 12,891.28, 17,790 and 7,302.28

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Solution

The fourth proportional to 12,891.28, 17,790 and 7,302.28 is: 10,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.28 : 17,790 = 7,302.28 : x
  2. Step 2: Convert to fraction form
    12,891.28/17,790 = 7,302.28/x
  3. Step 3: Cross multiply
    12,891.28x = 17,790 × 7,302.28
  4. Step 4: Simplify right side
    12,891.28x = 129,907,561.20
  5. Step 5: Solve for x
    x = 129,907,561.20/12,891.28
  6. Step 6: Final answer
    x = 10,077.17

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Why These Related Problems?

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