Home / 2,288.25-3,430.34-827.08

Finding the Fourth Proportional to 2,288.25, 3,430.34 and 827.08

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Solution

The fourth proportional to 2,288.25, 3,430.34 and 827.08 is: 1,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.25 : 3,430.34 = 827.08 : x
  2. Step 2: Convert to fraction form
    2,288.25/3,430.34 = 827.08/x
  3. Step 3: Cross multiply
    2,288.25x = 3,430.34 × 827.08
  4. Step 4: Simplify right side
    2,288.25x = 2,837,156.00
  5. Step 5: Solve for x
    x = 2,837,156.00/2,288.25
  6. Step 6: Final answer
    x = 1,239.88

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1.5x scale

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.