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Finding the Fourth Proportional to 12,179.70, 16,819.65 and 8,000.10

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Solution

The fourth proportional to 12,179.70, 16,819.65 and 8,000.10 is: 11,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.70 : 16,819.65 = 8,000.10 : x
  2. Step 2: Convert to fraction form
    12,179.70/16,819.65 = 8,000.10/x
  3. Step 3: Cross multiply
    12,179.70x = 16,819.65 × 8,000.10
  4. Step 4: Simplify right side
    12,179.70x = 134,558,881.97
  5. Step 5: Solve for x
    x = 134,558,881.97/12,179.70
  6. Step 6: Final answer
    x = 11,047.80

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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.