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Finding the Fourth Proportional to 12,217.92, 18,314.03 and 7,778.99

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Solution

The fourth proportional to 12,217.92, 18,314.03 and 7,778.99 is: 11,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.92 : 18,314.03 = 7,778.99 : x
  2. Step 2: Convert to fraction form
    12,217.92/18,314.03 = 7,778.99/x
  3. Step 3: Cross multiply
    12,217.92x = 18,314.03 × 7,778.99
  4. Step 4: Simplify right side
    12,217.92x = 142,464,525.76
  5. Step 5: Solve for x
    x = 142,464,525.76/12,217.92
  6. Step 6: Final answer
    x = 11,660.29

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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.