Home / 2,285.30-3,429.77-825.47

Finding the Fourth Proportional to 2,285.30, 3,429.77 and 825.47

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Solution

The fourth proportional to 2,285.30, 3,429.77 and 825.47 is: 1,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.30 : 3,429.77 = 825.47 : x
  2. Step 2: Convert to fraction form
    2,285.30/3,429.77 = 825.47/x
  3. Step 3: Cross multiply
    2,285.30x = 3,429.77 × 825.47
  4. Step 4: Simplify right side
    2,285.30x = 2,831,172.24
  5. Step 5: Solve for x
    x = 2,831,172.24/2,285.30
  6. Step 6: Final answer
    x = 1,238.86

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1.5x scale

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.