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Finding the Fourth Proportional to 6,811.79, 10,217.94 and 1,881.80

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Solution

The fourth proportional to 6,811.79, 10,217.94 and 1,881.80 is: 2,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.79 : 10,217.94 = 1,881.80 : x
  2. Step 2: Convert to fraction form
    6,811.79/10,217.94 = 1,881.80/x
  3. Step 3: Cross multiply
    6,811.79x = 10,217.94 × 1,881.80
  4. Step 4: Simplify right side
    6,811.79x = 19,228,119.49
  5. Step 5: Solve for x
    x = 19,228,119.49/6,811.79
  6. Step 6: Final answer
    x = 2,822.77

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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.