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Finding the Fourth Proportional to 6,811.40, 10,215.30 and 2,131.40

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Solution

The fourth proportional to 6,811.40, 10,215.30 and 2,131.40 is: 3,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.40 : 10,215.30 = 2,131.40 : x
  2. Step 2: Convert to fraction form
    6,811.40/10,215.30 = 2,131.40/x
  3. Step 3: Cross multiply
    6,811.40x = 10,215.30 × 2,131.40
  4. Step 4: Simplify right side
    6,811.40x = 21,772,890.42
  5. Step 5: Solve for x
    x = 21,772,890.42/6,811.40
  6. Step 6: Final answer
    x = 3,196.54

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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.