Home / 3,105.85-4,659-1,158.07

Finding the Fourth Proportional to 3,105.85, 4,659 and 1,158.07

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Solution

The fourth proportional to 3,105.85, 4,659 and 1,158.07 is: 1,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.85 : 4,659 = 1,158.07 : x
  2. Step 2: Convert to fraction form
    3,105.85/4,659 = 1,158.07/x
  3. Step 3: Cross multiply
    3,105.85x = 4,659 × 1,158.07
  4. Step 4: Simplify right side
    3,105.85x = 5,395,448.13
  5. Step 5: Solve for x
    x = 5,395,448.13/3,105.85
  6. Step 6: Final answer
    x = 1,737.19

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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.