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Finding the Fourth Proportional to 12,175.07, 16,804.31 and 7,918.73

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Solution

The fourth proportional to 12,175.07, 16,804.31 and 7,918.73 is: 10,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.07 : 16,804.31 = 7,918.73 : x
  2. Step 2: Convert to fraction form
    12,175.07/16,804.31 = 7,918.73/x
  3. Step 3: Cross multiply
    12,175.07x = 16,804.31 × 7,918.73
  4. Step 4: Simplify right side
    12,175.07x = 133,068,793.73
  5. Step 5: Solve for x
    x = 133,068,793.73/12,175.07
  6. Step 6: Final answer
    x = 10,929.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.