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Finding the Fourth Proportional to 6,314.68, 8,713.74 and 3,520

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Solution

The fourth proportional to 6,314.68, 8,713.74 and 3,520 is: 4,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.68 : 8,713.74 = 3,520 : x
  2. Step 2: Convert to fraction form
    6,314.68/8,713.74 = 3,520/x
  3. Step 3: Cross multiply
    6,314.68x = 8,713.74 × 3,520
  4. Step 4: Simplify right side
    6,314.68x = 30,672,364.80
  5. Step 5: Solve for x
    x = 30,672,364.80/6,314.68
  6. Step 6: Final answer
    x = 4,857.31

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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.