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Finding the Fourth Proportional to 12,221.61, 18,361.76 and 7,847.61

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Solution

The fourth proportional to 12,221.61, 18,361.76 and 7,847.61 is: 11,790.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.61 : 18,361.76 = 7,847.61 : x
  2. Step 2: Convert to fraction form
    12,221.61/18,361.76 = 7,847.61/x
  3. Step 3: Cross multiply
    12,221.61x = 18,361.76 × 7,847.61
  4. Step 4: Simplify right side
    12,221.61x = 144,095,951.01
  5. Step 5: Solve for x
    x = 144,095,951.01/12,221.61
  6. Step 6: Final answer
    x = 11,790.26

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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.