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Finding the Fourth Proportional to 12,185.80, 18,264 and 5,602.96

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Solution

The fourth proportional to 12,185.80, 18,264 and 5,602.96 is: 8,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.80 : 18,264 = 5,602.96 : x
  2. Step 2: Convert to fraction form
    12,185.80/18,264 = 5,602.96/x
  3. Step 3: Cross multiply
    12,185.80x = 18,264 × 5,602.96
  4. Step 4: Simplify right side
    12,185.80x = 102,332,461.44
  5. Step 5: Solve for x
    x = 102,332,461.44/12,185.80
  6. Step 6: Final answer
    x = 8,397.68

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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.