Home / 2,114.19-3,167.64-1,645.83

Finding the Fourth Proportional to 2,114.19, 3,167.64 and 1,645.83

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Solution

The fourth proportional to 2,114.19, 3,167.64 and 1,645.83 is: 2,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.19 : 3,167.64 = 1,645.83 : x
  2. Step 2: Convert to fraction form
    2,114.19/3,167.64 = 1,645.83/x
  3. Step 3: Cross multiply
    2,114.19x = 3,167.64 × 1,645.83
  4. Step 4: Simplify right side
    2,114.19x = 5,213,396.94
  5. Step 5: Solve for x
    x = 5,213,396.94/2,114.19
  6. Step 6: Final answer
    x = 2,465.91

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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.