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Finding the Fourth Proportional to 12,310.92, 16,996.08 and 8,126.46

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Solution

The fourth proportional to 12,310.92, 16,996.08 and 8,126.46 is: 11,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,310.92 : 16,996.08 = 8,126.46 : x
  2. Step 2: Convert to fraction form
    12,310.92/16,996.08 = 8,126.46/x
  3. Step 3: Cross multiply
    12,310.92x = 16,996.08 × 8,126.46
  4. Step 4: Simplify right side
    12,310.92x = 138,117,964.28
  5. Step 5: Solve for x
    x = 138,117,964.28/12,310.92
  6. Step 6: Final answer
    x = 11,219.14

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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.