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Finding the Fourth Proportional to 12,205.92, 18,308.22 and 4,308.81

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Solution

The fourth proportional to 12,205.92, 18,308.22 and 4,308.81 is: 6,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.92 : 18,308.22 = 4,308.81 : x
  2. Step 2: Convert to fraction form
    12,205.92/18,308.22 = 4,308.81/x
  3. Step 3: Cross multiply
    12,205.92x = 18,308.22 × 4,308.81
  4. Step 4: Simplify right side
    12,205.92x = 78,886,641.42
  5. Step 5: Solve for x
    x = 78,886,641.42/12,205.92
  6. Step 6: Final answer
    x = 6,462.98

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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.