Home / 2,288.30-3,430.93-827.26

Finding the Fourth Proportional to 2,288.30, 3,430.93 and 827.26

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Solution

The fourth proportional to 2,288.30, 3,430.93 and 827.26 is: 1,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.30 : 3,430.93 = 827.26 : x
  2. Step 2: Convert to fraction form
    2,288.30/3,430.93 = 827.26/x
  3. Step 3: Cross multiply
    2,288.30x = 3,430.93 × 827.26
  4. Step 4: Simplify right side
    2,288.30x = 2,838,283.68
  5. Step 5: Solve for x
    x = 2,838,283.68/2,288.30
  6. Step 6: Final answer
    x = 1,240.35

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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.