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Finding the Fourth Proportional to 6,314, 8,713.32 and 3,519.68

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Solution

The fourth proportional to 6,314, 8,713.32 and 3,519.68 is: 4,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314 : 8,713.32 = 3,519.68 : x
  2. Step 2: Convert to fraction form
    6,314/8,713.32 = 3,519.68/x
  3. Step 3: Cross multiply
    6,314x = 8,713.32 × 3,519.68
  4. Step 4: Simplify right side
    6,314x = 30,668,098.14
  5. Step 5: Solve for x
    x = 30,668,098.14/6,314
  6. Step 6: Final answer
    x = 4,857.16

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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.