Home / 1,546.49-2,318.90-815.87

Finding the Fourth Proportional to 1,546.49, 2,318.90 and 815.87

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Solution

The fourth proportional to 1,546.49, 2,318.90 and 815.87 is: 1,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.49 : 2,318.90 = 815.87 : x
  2. Step 2: Convert to fraction form
    1,546.49/2,318.90 = 815.87/x
  3. Step 3: Cross multiply
    1,546.49x = 2,318.90 × 815.87
  4. Step 4: Simplify right side
    1,546.49x = 1,891,922.66
  5. Step 5: Solve for x
    x = 1,891,922.66/1,546.49
  6. Step 6: Final answer
    x = 1,223.36

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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.