Home / 1,781.24-2,458.11-984.58

Finding the Fourth Proportional to 1,781.24, 2,458.11 and 984.58

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Solution

The fourth proportional to 1,781.24, 2,458.11 and 984.58 is: 1,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.24 : 2,458.11 = 984.58 : x
  2. Step 2: Convert to fraction form
    1,781.24/2,458.11 = 984.58/x
  3. Step 3: Cross multiply
    1,781.24x = 2,458.11 × 984.58
  4. Step 4: Simplify right side
    1,781.24x = 2,420,205.94
  5. Step 5: Solve for x
    x = 2,420,205.94/1,781.24
  6. Step 6: Final answer
    x = 1,358.72

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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.