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Finding the Fourth Proportional to 7,971.80, 11,960.42 and 4,072.92

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Solution

The fourth proportional to 7,971.80, 11,960.42 and 4,072.92 is: 6,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.80 : 11,960.42 = 4,072.92 : x
  2. Step 2: Convert to fraction form
    7,971.80/11,960.42 = 4,072.92/x
  3. Step 3: Cross multiply
    7,971.80x = 11,960.42 × 4,072.92
  4. Step 4: Simplify right side
    7,971.80x = 48,713,833.83
  5. Step 5: Solve for x
    x = 48,713,833.83/7,971.80
  6. Step 6: Final answer
    x = 6,110.77

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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.