Home / 2,287.06-3,429.90-825.40

Finding the Fourth Proportional to 2,287.06, 3,429.90 and 825.40

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Solution

The fourth proportional to 2,287.06, 3,429.90 and 825.40 is: 1,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.06 : 3,429.90 = 825.40 : x
  2. Step 2: Convert to fraction form
    2,287.06/3,429.90 = 825.40/x
  3. Step 3: Cross multiply
    2,287.06x = 3,429.90 × 825.40
  4. Step 4: Simplify right side
    2,287.06x = 2,831,039.46
  5. Step 5: Solve for x
    x = 2,831,039.46/2,287.06
  6. Step 6: Final answer
    x = 1,237.85

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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.