Home / 1,442.97-2,165.40-827.19

Finding the Fourth Proportional to 1,442.97, 2,165.40 and 827.19

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Solution

The fourth proportional to 1,442.97, 2,165.40 and 827.19 is: 1,241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.97 : 2,165.40 = 827.19 : x
  2. Step 2: Convert to fraction form
    1,442.97/2,165.40 = 827.19/x
  3. Step 3: Cross multiply
    1,442.97x = 2,165.40 × 827.19
  4. Step 4: Simplify right side
    1,442.97x = 1,791,197.23
  5. Step 5: Solve for x
    x = 1,791,197.23/1,442.97
  6. Step 6: Final answer
    x = 1,241.33

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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.