Home / 2,287.12-3,429.95-826.07

Finding the Fourth Proportional to 2,287.12, 3,429.95 and 826.07

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Solution

The fourth proportional to 2,287.12, 3,429.95 and 826.07 is: 1,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.12 : 3,429.95 = 826.07 : x
  2. Step 2: Convert to fraction form
    2,287.12/3,429.95 = 826.07/x
  3. Step 3: Cross multiply
    2,287.12x = 3,429.95 × 826.07
  4. Step 4: Simplify right side
    2,287.12x = 2,833,374.67
  5. Step 5: Solve for x
    x = 2,833,374.67/2,287.12
  6. Step 6: Final answer
    x = 1,238.84

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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.