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Finding the Fourth Proportional to 6,317.74, 8,720.21 and 3,666

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Solution

The fourth proportional to 6,317.74, 8,720.21 and 3,666 is: 5,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.74 : 8,720.21 = 3,666 : x
  2. Step 2: Convert to fraction form
    6,317.74/8,720.21 = 3,666/x
  3. Step 3: Cross multiply
    6,317.74x = 8,720.21 × 3,666
  4. Step 4: Simplify right side
    6,317.74x = 31,968,299.03
  5. Step 5: Solve for x
    x = 31,968,299.03/6,317.74
  6. Step 6: Final answer
    x = 5,060.09

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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.