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Finding the Fourth Proportional to 7,808.81, 11,713.23 and 3,191.81

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Solution

The fourth proportional to 7,808.81, 11,713.23 and 3,191.81 is: 4,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.81 : 11,713.23 = 3,191.81 : x
  2. Step 2: Convert to fraction form
    7,808.81/11,713.23 = 3,191.81/x
  3. Step 3: Cross multiply
    7,808.81x = 11,713.23 × 3,191.81
  4. Step 4: Simplify right side
    7,808.81x = 37,386,433.93
  5. Step 5: Solve for x
    x = 37,386,433.93/7,808.81
  6. Step 6: Final answer
    x = 4,787.72

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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.