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Finding the Fourth Proportional to 2,287.65, 3,431.48 and 826.78

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Solution

The fourth proportional to 2,287.65, 3,431.48 and 826.78 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.65 : 3,431.48 = 826.78 : x
  2. Step 2: Convert to fraction form
    2,287.65/3,431.48 = 826.78/x
  3. Step 3: Cross multiply
    2,287.65x = 3,431.48 × 826.78
  4. Step 4: Simplify right side
    2,287.65x = 2,837,079.03
  5. Step 5: Solve for x
    x = 2,837,079.03/2,287.65
  6. Step 6: Final answer
    x = 1,240.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.