Home / 2,288.15-3,430.12-826.95

Finding the Fourth Proportional to 2,288.15, 3,430.12 and 826.95

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Solution

The fourth proportional to 2,288.15, 3,430.12 and 826.95 is: 1,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.15 : 3,430.12 = 826.95 : x
  2. Step 2: Convert to fraction form
    2,288.15/3,430.12 = 826.95/x
  3. Step 3: Cross multiply
    2,288.15x = 3,430.12 × 826.95
  4. Step 4: Simplify right side
    2,288.15x = 2,836,537.73
  5. Step 5: Solve for x
    x = 2,836,537.73/2,288.15
  6. Step 6: Final answer
    x = 1,239.66

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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.