Home / 2,114.10-3,170.31-815.70

Finding the Fourth Proportional to 2,114.10, 3,170.31 and 815.70

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Solution

The fourth proportional to 2,114.10, 3,170.31 and 815.70 is: 1,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.10 : 3,170.31 = 815.70 : x
  2. Step 2: Convert to fraction form
    2,114.10/3,170.31 = 815.70/x
  3. Step 3: Cross multiply
    2,114.10x = 3,170.31 × 815.70
  4. Step 4: Simplify right side
    2,114.10x = 2,586,021.87
  5. Step 5: Solve for x
    x = 2,586,021.87/2,114.10
  6. Step 6: Final answer
    x = 1,223.23

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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.