Home / 1,982.84-2,974.70-1,057.91

Finding the Fourth Proportional to 1,982.84, 2,974.70 and 1,057.91

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Solution

The fourth proportional to 1,982.84, 2,974.70 and 1,057.91 is: 1,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.84 : 2,974.70 = 1,057.91 : x
  2. Step 2: Convert to fraction form
    1,982.84/2,974.70 = 1,057.91/x
  3. Step 3: Cross multiply
    1,982.84x = 2,974.70 × 1,057.91
  4. Step 4: Simplify right side
    1,982.84x = 3,146,944.71
  5. Step 5: Solve for x
    x = 3,146,944.71/1,982.84
  6. Step 6: Final answer
    x = 1,587.09

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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.