Home / 2,557.30-3,835.97-825.92

Finding the Fourth Proportional to 2,557.30, 3,835.97 and 825.92

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Solution

The fourth proportional to 2,557.30, 3,835.97 and 825.92 is: 1,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.30 : 3,835.97 = 825.92 : x
  2. Step 2: Convert to fraction form
    2,557.30/3,835.97 = 825.92/x
  3. Step 3: Cross multiply
    2,557.30x = 3,835.97 × 825.92
  4. Step 4: Simplify right side
    2,557.30x = 3,168,204.34
  5. Step 5: Solve for x
    x = 3,168,204.34/2,557.30
  6. Step 6: Final answer
    x = 1,238.89

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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.