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Finding the Fourth Proportional to 2,419, 3,338.22 and 1,371.40

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Solution

The fourth proportional to 2,419, 3,338.22 and 1,371.40 is: 1,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419 : 3,338.22 = 1,371.40 : x
  2. Step 2: Convert to fraction form
    2,419/3,338.22 = 1,371.40/x
  3. Step 3: Cross multiply
    2,419x = 3,338.22 × 1,371.40
  4. Step 4: Simplify right side
    2,419x = 4,578,034.91
  5. Step 5: Solve for x
    x = 4,578,034.91/2,419
  6. Step 6: Final answer
    x = 1,892.53

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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.