Home / 1,982.05-2,735.03-1,142.91

Finding the Fourth Proportional to 1,982.05, 2,735.03 and 1,142.91

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Solution

The fourth proportional to 1,982.05, 2,735.03 and 1,142.91 is: 1,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.05 : 2,735.03 = 1,142.91 : x
  2. Step 2: Convert to fraction form
    1,982.05/2,735.03 = 1,142.91/x
  3. Step 3: Cross multiply
    1,982.05x = 2,735.03 × 1,142.91
  4. Step 4: Simplify right side
    1,982.05x = 3,125,895.99
  5. Step 5: Solve for x
    x = 3,125,895.99/1,982.05
  6. Step 6: Final answer
    x = 1,577.10

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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.