Home / 2,288.48-3,430.26-827.20

Finding the Fourth Proportional to 2,288.48, 3,430.26 and 827.20

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Solution

The fourth proportional to 2,288.48, 3,430.26 and 827.20 is: 1,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.48 : 3,430.26 = 827.20 : x
  2. Step 2: Convert to fraction form
    2,288.48/3,430.26 = 827.20/x
  3. Step 3: Cross multiply
    2,288.48x = 3,430.26 × 827.20
  4. Step 4: Simplify right side
    2,288.48x = 2,837,511.07
  5. Step 5: Solve for x
    x = 2,837,511.07/2,288.48
  6. Step 6: Final answer
    x = 1,239.91

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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.