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Finding the Fourth Proportional to 12,179.68, 18,269.36 and 6,981.84

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Solution

The fourth proportional to 12,179.68, 18,269.36 and 6,981.84 is: 10,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.68 : 18,269.36 = 6,981.84 : x
  2. Step 2: Convert to fraction form
    12,179.68/18,269.36 = 6,981.84/x
  3. Step 3: Cross multiply
    12,179.68x = 18,269.36 × 6,981.84
  4. Step 4: Simplify right side
    12,179.68x = 127,553,748.42
  5. Step 5: Solve for x
    x = 127,553,748.42/12,179.68
  6. Step 6: Final answer
    x = 10,472.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.