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Finding the Fourth Proportional to 12,198.34, 16,827.54 and 8,165.34

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Solution

The fourth proportional to 12,198.34, 16,827.54 and 8,165.34 is: 11,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.34 : 16,827.54 = 8,165.34 : x
  2. Step 2: Convert to fraction form
    12,198.34/16,827.54 = 8,165.34/x
  3. Step 3: Cross multiply
    12,198.34x = 16,827.54 × 8,165.34
  4. Step 4: Simplify right side
    12,198.34x = 137,402,501.33
  5. Step 5: Solve for x
    x = 137,402,501.33/12,198.34
  6. Step 6: Final answer
    x = 11,264.03

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1.5x scale

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.