Home / 2,138.12-2,949.05-1,419.49

Finding the Fourth Proportional to 2,138.12, 2,949.05 and 1,419.49

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Solution

The fourth proportional to 2,138.12, 2,949.05 and 1,419.49 is: 1,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.12 : 2,949.05 = 1,419.49 : x
  2. Step 2: Convert to fraction form
    2,138.12/2,949.05 = 1,419.49/x
  3. Step 3: Cross multiply
    2,138.12x = 2,949.05 × 1,419.49
  4. Step 4: Simplify right side
    2,138.12x = 4,186,129.65
  5. Step 5: Solve for x
    x = 4,186,129.65/2,138.12
  6. Step 6: Final answer
    x = 1,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.