Home / 1,982.07-2,973.12-1,105.91

Finding the Fourth Proportional to 1,982.07, 2,973.12 and 1,105.91

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Solution

The fourth proportional to 1,982.07, 2,973.12 and 1,105.91 is: 1,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.07 : 2,973.12 = 1,105.91 : x
  2. Step 2: Convert to fraction form
    1,982.07/2,973.12 = 1,105.91/x
  3. Step 3: Cross multiply
    1,982.07x = 2,973.12 × 1,105.91
  4. Step 4: Simplify right side
    1,982.07x = 3,287,988.27
  5. Step 5: Solve for x
    x = 3,287,988.27/1,982.07
  6. Step 6: Final answer
    x = 1,658.87

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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.