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Finding the Fourth Proportional to 6,674.22, 9,210.39 and 3,690

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Solution

The fourth proportional to 6,674.22, 9,210.39 and 3,690 is: 5,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.22 : 9,210.39 = 3,690 : x
  2. Step 2: Convert to fraction form
    6,674.22/9,210.39 = 3,690/x
  3. Step 3: Cross multiply
    6,674.22x = 9,210.39 × 3,690
  4. Step 4: Simplify right side
    6,674.22x = 33,986,339.10
  5. Step 5: Solve for x
    x = 33,986,339.10/6,674.22
  6. Step 6: Final answer
    x = 5,092.18

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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.