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Finding the Fourth Proportional to 7,808.82, 11,713.23 and 3,191.82

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Solution

The fourth proportional to 7,808.82, 11,713.23 and 3,191.82 is: 4,787.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.82 : 11,713.23 = 3,191.82 : x
  2. Step 2: Convert to fraction form
    7,808.82/11,713.23 = 3,191.82/x
  3. Step 3: Cross multiply
    7,808.82x = 11,713.23 × 3,191.82
  4. Step 4: Simplify right side
    7,808.82x = 37,386,521.78
  5. Step 5: Solve for x
    x = 37,386,521.78/7,808.82
  6. Step 6: Final answer
    x = 4,787.73

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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.