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Finding the Fourth Proportional to 6,871.43, 10,310.90 and 2,976.14

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Solution

The fourth proportional to 6,871.43, 10,310.90 and 2,976.14 is: 4,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.43 : 10,310.90 = 2,976.14 : x
  2. Step 2: Convert to fraction form
    6,871.43/10,310.90 = 2,976.14/x
  3. Step 3: Cross multiply
    6,871.43x = 10,310.90 × 2,976.14
  4. Step 4: Simplify right side
    6,871.43x = 30,686,692.82
  5. Step 5: Solve for x
    x = 30,686,692.82/6,871.43
  6. Step 6: Final answer
    x = 4,465.84

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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.