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Finding the Fourth Proportional to 2,285.93, 3,429.81 and 825.20

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Solution

The fourth proportional to 2,285.93, 3,429.81 and 825.20 is: 1,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.93 : 3,429.81 = 825.20 : x
  2. Step 2: Convert to fraction form
    2,285.93/3,429.81 = 825.20/x
  3. Step 3: Cross multiply
    2,285.93x = 3,429.81 × 825.20
  4. Step 4: Simplify right side
    2,285.93x = 2,830,274.92
  5. Step 5: Solve for x
    x = 2,830,274.92/2,285.93
  6. Step 6: Final answer
    x = 1,238.13

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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.