Home / 12,162.49-16,784-6,857.31

Finding the Fourth Proportional to 12,162.49, 16,784 and 6,857.31

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Solution

The fourth proportional to 12,162.49, 16,784 and 6,857.31 is: 9,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.49 : 16,784 = 6,857.31 : x
  2. Step 2: Convert to fraction form
    12,162.49/16,784 = 6,857.31/x
  3. Step 3: Cross multiply
    12,162.49x = 16,784 × 6,857.31
  4. Step 4: Simplify right side
    12,162.49x = 115,093,091.04
  5. Step 5: Solve for x
    x = 115,093,091.04/12,162.49
  6. Step 6: Final answer
    x = 9,462.95

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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.