Home / 2,974.96-4,459.79-1,414

Finding the Fourth Proportional to 2,974.96, 4,459.79 and 1,414

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Solution

The fourth proportional to 2,974.96, 4,459.79 and 1,414 is: 2,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.96 : 4,459.79 = 1,414 : x
  2. Step 2: Convert to fraction form
    2,974.96/4,459.79 = 1,414/x
  3. Step 3: Cross multiply
    2,974.96x = 4,459.79 × 1,414
  4. Step 4: Simplify right side
    2,974.96x = 6,306,143.06
  5. Step 5: Solve for x
    x = 6,306,143.06/2,974.96
  6. Step 6: Final answer
    x = 2,119.74

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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.