Home / 1,587.48-2,382.23-857.26

Finding the Fourth Proportional to 1,587.48, 2,382.23 and 857.26

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Solution

The fourth proportional to 1,587.48, 2,382.23 and 857.26 is: 1,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.48 : 2,382.23 = 857.26 : x
  2. Step 2: Convert to fraction form
    1,587.48/2,382.23 = 857.26/x
  3. Step 3: Cross multiply
    1,587.48x = 2,382.23 × 857.26
  4. Step 4: Simplify right side
    1,587.48x = 2,042,190.49
  5. Step 5: Solve for x
    x = 2,042,190.49/1,587.48
  6. Step 6: Final answer
    x = 1,286.44

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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.