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Finding the Fourth Proportional to 6,674.00, 9,209.75 and 3,689.65

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Solution

The fourth proportional to 6,674.00, 9,209.75 and 3,689.65 is: 5,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.00 : 9,209.75 = 3,689.65 : x
  2. Step 2: Convert to fraction form
    6,674.00/9,209.75 = 3,689.65/x
  3. Step 3: Cross multiply
    6,674.00x = 9,209.75 × 3,689.65
  4. Step 4: Simplify right side
    6,674.00x = 33,980,767.91
  5. Step 5: Solve for x
    x = 33,980,767.91/6,674.00
  6. Step 6: Final answer
    x = 5,091.52

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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.