Home / 1,828.20-2,743.17-854.16

Finding the Fourth Proportional to 1,828.20, 2,743.17 and 854.16

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Solution

The fourth proportional to 1,828.20, 2,743.17 and 854.16 is: 1,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.20 : 2,743.17 = 854.16 : x
  2. Step 2: Convert to fraction form
    1,828.20/2,743.17 = 854.16/x
  3. Step 3: Cross multiply
    1,828.20x = 2,743.17 × 854.16
  4. Step 4: Simplify right side
    1,828.20x = 2,343,106.09
  5. Step 5: Solve for x
    x = 2,343,106.09/1,828.20
  6. Step 6: Final answer
    x = 1,281.65

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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.