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Finding the Fourth Proportional to 2,287.09, 3,430.86 and 825.90

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Solution

The fourth proportional to 2,287.09, 3,430.86 and 825.90 is: 1,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.09 : 3,430.86 = 825.90 : x
  2. Step 2: Convert to fraction form
    2,287.09/3,430.86 = 825.90/x
  3. Step 3: Cross multiply
    2,287.09x = 3,430.86 × 825.90
  4. Step 4: Simplify right side
    2,287.09x = 2,833,531.31
  5. Step 5: Solve for x
    x = 2,833,531.31/2,287.09
  6. Step 6: Final answer
    x = 1,238.93

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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.