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Finding the Fourth Proportional to 5,808.69, 8,713.80 and 1,911.78

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Solution

The fourth proportional to 5,808.69, 8,713.80 and 1,911.78 is: 2,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.69 : 8,713.80 = 1,911.78 : x
  2. Step 2: Convert to fraction form
    5,808.69/8,713.80 = 1,911.78/x
  3. Step 3: Cross multiply
    5,808.69x = 8,713.80 × 1,911.78
  4. Step 4: Simplify right side
    5,808.69x = 16,658,868.56
  5. Step 5: Solve for x
    x = 16,658,868.56/5,808.69
  6. Step 6: Final answer
    x = 2,867.92

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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.