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Finding the Fourth Proportional to 12,756, 17,603.28 and 7,167

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Solution

The fourth proportional to 12,756, 17,603.28 and 7,167 is: 9,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756 : 17,603.28 = 7,167 : x
  2. Step 2: Convert to fraction form
    12,756/17,603.28 = 7,167/x
  3. Step 3: Cross multiply
    12,756x = 17,603.28 × 7,167
  4. Step 4: Simplify right side
    12,756x = 126,162,707.76
  5. Step 5: Solve for x
    x = 126,162,707.76/12,756
  6. Step 6: Final answer
    x = 9,890.46

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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.