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Finding the Fourth Proportional to 12,364.11, 17,063.96 and 6,986.79

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Solution

The fourth proportional to 12,364.11, 17,063.96 and 6,986.79 is: 9,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.11 : 17,063.96 = 6,986.79 : x
  2. Step 2: Convert to fraction form
    12,364.11/17,063.96 = 6,986.79/x
  3. Step 3: Cross multiply
    12,364.11x = 17,063.96 × 6,986.79
  4. Step 4: Simplify right side
    12,364.11x = 119,222,270.15
  5. Step 5: Solve for x
    x = 119,222,270.15/12,364.11
  6. Step 6: Final answer
    x = 9,642.61

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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.