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Finding the Fourth Proportional to 12,166.88, 18,251 and 5,139.96

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Solution

The fourth proportional to 12,166.88, 18,251 and 5,139.96 is: 7,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.88 : 18,251 = 5,139.96 : x
  2. Step 2: Convert to fraction form
    12,166.88/18,251 = 5,139.96/x
  3. Step 3: Cross multiply
    12,166.88x = 18,251 × 5,139.96
  4. Step 4: Simplify right side
    12,166.88x = 93,809,409.96
  5. Step 5: Solve for x
    x = 93,809,409.96/12,166.88
  6. Step 6: Final answer
    x = 7,710.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.