Home / 2,546.85-3,820.23-815.46

Finding the Fourth Proportional to 2,546.85, 3,820.23 and 815.46

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Solution

The fourth proportional to 2,546.85, 3,820.23 and 815.46 is: 1,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.85 : 3,820.23 = 815.46 : x
  2. Step 2: Convert to fraction form
    2,546.85/3,820.23 = 815.46/x
  3. Step 3: Cross multiply
    2,546.85x = 3,820.23 × 815.46
  4. Step 4: Simplify right side
    2,546.85x = 3,115,244.76
  5. Step 5: Solve for x
    x = 3,115,244.76/2,546.85
  6. Step 6: Final answer
    x = 1,223.18

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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.