Home / 1,828.16-2,743.08-1,135.64

Finding the Fourth Proportional to 1,828.16, 2,743.08 and 1,135.64

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Solution

The fourth proportional to 1,828.16, 2,743.08 and 1,135.64 is: 1,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.16 : 2,743.08 = 1,135.64 : x
  2. Step 2: Convert to fraction form
    1,828.16/2,743.08 = 1,135.64/x
  3. Step 3: Cross multiply
    1,828.16x = 2,743.08 × 1,135.64
  4. Step 4: Simplify right side
    1,828.16x = 3,115,151.37
  5. Step 5: Solve for x
    x = 3,115,151.37/1,828.16
  6. Step 6: Final answer
    x = 1,703.98

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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.