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Finding the Fourth Proportional to 12,305.76, 16,986 and 9,792.48

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Solution

The fourth proportional to 12,305.76, 16,986 and 9,792.48 is: 13,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.76 : 16,986 = 9,792.48 : x
  2. Step 2: Convert to fraction form
    12,305.76/16,986 = 9,792.48/x
  3. Step 3: Cross multiply
    12,305.76x = 16,986 × 9,792.48
  4. Step 4: Simplify right side
    12,305.76x = 166,335,065.28
  5. Step 5: Solve for x
    x = 166,335,065.28/12,305.76
  6. Step 6: Final answer
    x = 13,516.85

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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.