Home / 2,288.23-3,432.34-826.78

Finding the Fourth Proportional to 2,288.23, 3,432.34 and 826.78

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Solution

The fourth proportional to 2,288.23, 3,432.34 and 826.78 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.23 : 3,432.34 = 826.78 : x
  2. Step 2: Convert to fraction form
    2,288.23/3,432.34 = 826.78/x
  3. Step 3: Cross multiply
    2,288.23x = 3,432.34 × 826.78
  4. Step 4: Simplify right side
    2,288.23x = 2,837,790.07
  5. Step 5: Solve for x
    x = 2,837,790.07/2,288.23
  6. Step 6: Final answer
    x = 1,240.17

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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.