Home / 3,129.62-4,689-1,664.33

Finding the Fourth Proportional to 3,129.62, 4,689 and 1,664.33

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Solution

The fourth proportional to 3,129.62, 4,689 and 1,664.33 is: 2,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.62 : 4,689 = 1,664.33 : x
  2. Step 2: Convert to fraction form
    3,129.62/4,689 = 1,664.33/x
  3. Step 3: Cross multiply
    3,129.62x = 4,689 × 1,664.33
  4. Step 4: Simplify right side
    3,129.62x = 7,804,019.93
  5. Step 5: Solve for x
    x = 7,804,019.93/3,129.62
  6. Step 6: Final answer
    x = 2,493.60

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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.