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Finding the Fourth Proportional to 6,874.79, 10,313.31 and 2,129.84

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Solution

The fourth proportional to 6,874.79, 10,313.31 and 2,129.84 is: 3,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.79 : 10,313.31 = 2,129.84 : x
  2. Step 2: Convert to fraction form
    6,874.79/10,313.31 = 2,129.84/x
  3. Step 3: Cross multiply
    6,874.79x = 10,313.31 × 2,129.84
  4. Step 4: Simplify right side
    6,874.79x = 21,965,689.52
  5. Step 5: Solve for x
    x = 21,965,689.52/6,874.79
  6. Step 6: Final answer
    x = 3,195.11

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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.