Home / 1,546.26-2,321.10-815.64

Finding the Fourth Proportional to 1,546.26, 2,321.10 and 815.64

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Solution

The fourth proportional to 1,546.26, 2,321.10 and 815.64 is: 1,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.26 : 2,321.10 = 815.64 : x
  2. Step 2: Convert to fraction form
    1,546.26/2,321.10 = 815.64/x
  3. Step 3: Cross multiply
    1,546.26x = 2,321.10 × 815.64
  4. Step 4: Simplify right side
    1,546.26x = 1,893,182.00
  5. Step 5: Solve for x
    x = 1,893,182.00/1,546.26
  6. Step 6: Final answer
    x = 1,224.36

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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.