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Finding the Fourth Proportional to 11,930.88, 17,895.96 and 8,406.12

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Solution

The fourth proportional to 11,930.88, 17,895.96 and 8,406.12 is: 12,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.88 : 17,895.96 = 8,406.12 : x
  2. Step 2: Convert to fraction form
    11,930.88/17,895.96 = 8,406.12/x
  3. Step 3: Cross multiply
    11,930.88x = 17,895.96 × 8,406.12
  4. Step 4: Simplify right side
    11,930.88x = 150,435,587.28
  5. Step 5: Solve for x
    x = 150,435,587.28/11,930.88
  6. Step 6: Final answer
    x = 12,608.93

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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.