Home / 1,442.09-2,163.45-857.61

Finding the Fourth Proportional to 1,442.09, 2,163.45 and 857.61

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Solution

The fourth proportional to 1,442.09, 2,163.45 and 857.61 is: 1,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.09 : 2,163.45 = 857.61 : x
  2. Step 2: Convert to fraction form
    1,442.09/2,163.45 = 857.61/x
  3. Step 3: Cross multiply
    1,442.09x = 2,163.45 × 857.61
  4. Step 4: Simplify right side
    1,442.09x = 1,855,396.35
  5. Step 5: Solve for x
    x = 1,855,396.35/1,442.09
  6. Step 6: Final answer
    x = 1,286.61

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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.