Home / 2,049.64-2,828.31-1,165.39

Finding the Fourth Proportional to 2,049.64, 2,828.31 and 1,165.39

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Solution

The fourth proportional to 2,049.64, 2,828.31 and 1,165.39 is: 1,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.64 : 2,828.31 = 1,165.39 : x
  2. Step 2: Convert to fraction form
    2,049.64/2,828.31 = 1,165.39/x
  3. Step 3: Cross multiply
    2,049.64x = 2,828.31 × 1,165.39
  4. Step 4: Simplify right side
    2,049.64x = 3,296,084.19
  5. Step 5: Solve for x
    x = 3,296,084.19/2,049.64
  6. Step 6: Final answer
    x = 1,608.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.