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Finding the Fourth Proportional to 6,410.82, 8,839.20 and 4,171.86

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Solution

The fourth proportional to 6,410.82, 8,839.20 and 4,171.86 is: 5,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.82 : 8,839.20 = 4,171.86 : x
  2. Step 2: Convert to fraction form
    6,410.82/8,839.20 = 4,171.86/x
  3. Step 3: Cross multiply
    6,410.82x = 8,839.20 × 4,171.86
  4. Step 4: Simplify right side
    6,410.82x = 36,875,904.91
  5. Step 5: Solve for x
    x = 36,875,904.91/6,410.82
  6. Step 6: Final answer
    x = 5,752.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.