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Finding the Fourth Proportional to 12,212.50, 16,854 and 7,435.78

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Solution

The fourth proportional to 12,212.50, 16,854 and 7,435.78 is: 10,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212.50 : 16,854 = 7,435.78 : x
  2. Step 2: Convert to fraction form
    12,212.50/16,854 = 7,435.78/x
  3. Step 3: Cross multiply
    12,212.50x = 16,854 × 7,435.78
  4. Step 4: Simplify right side
    12,212.50x = 125,322,636.12
  5. Step 5: Solve for x
    x = 125,322,636.12/12,212.50
  6. Step 6: Final answer
    x = 10,261.83

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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.