Home / 2,557.06-3,834.77-825.28

Finding the Fourth Proportional to 2,557.06, 3,834.77 and 825.28

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Solution

The fourth proportional to 2,557.06, 3,834.77 and 825.28 is: 1,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.06 : 3,834.77 = 825.28 : x
  2. Step 2: Convert to fraction form
    2,557.06/3,834.77 = 825.28/x
  3. Step 3: Cross multiply
    2,557.06x = 3,834.77 × 825.28
  4. Step 4: Simplify right side
    2,557.06x = 3,164,758.99
  5. Step 5: Solve for x
    x = 3,164,758.99/2,557.06
  6. Step 6: Final answer
    x = 1,237.66

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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.