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Finding the Fourth Proportional to 6,314.55, 8,713.87 and 3,661.80

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Solution

The fourth proportional to 6,314.55, 8,713.87 and 3,661.80 is: 5,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.55 : 8,713.87 = 3,661.80 : x
  2. Step 2: Convert to fraction form
    6,314.55/8,713.87 = 3,661.80/x
  3. Step 3: Cross multiply
    6,314.55x = 8,713.87 × 3,661.80
  4. Step 4: Simplify right side
    6,314.55x = 31,908,449.17
  5. Step 5: Solve for x
    x = 31,908,449.17/6,314.55
  6. Step 6: Final answer
    x = 5,053.16

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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.