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Finding the Fourth Proportional to 12,536.78, 17,300.09 and 7,231.28

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Solution

The fourth proportional to 12,536.78, 17,300.09 and 7,231.28 is: 9,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.78 : 17,300.09 = 7,231.28 : x
  2. Step 2: Convert to fraction form
    12,536.78/17,300.09 = 7,231.28/x
  3. Step 3: Cross multiply
    12,536.78x = 17,300.09 × 7,231.28
  4. Step 4: Simplify right side
    12,536.78x = 125,101,794.82
  5. Step 5: Solve for x
    x = 125,101,794.82/12,536.78
  6. Step 6: Final answer
    x = 9,978.78

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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.