Home / 1,913.40-2,638.81-1,382.14

Finding the Fourth Proportional to 1,913.40, 2,638.81 and 1,382.14

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Solution

The fourth proportional to 1,913.40, 2,638.81 and 1,382.14 is: 1,906.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.40 : 2,638.81 = 1,382.14 : x
  2. Step 2: Convert to fraction form
    1,913.40/2,638.81 = 1,382.14/x
  3. Step 3: Cross multiply
    1,913.40x = 2,638.81 × 1,382.14
  4. Step 4: Simplify right side
    1,913.40x = 3,647,204.85
  5. Step 5: Solve for x
    x = 3,647,204.85/1,913.40
  6. Step 6: Final answer
    x = 1,906.14

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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.