Home / 3,112.96-4,669.07-1,164.64

Finding the Fourth Proportional to 3,112.96, 4,669.07 and 1,164.64

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Solution

The fourth proportional to 3,112.96, 4,669.07 and 1,164.64 is: 1,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.96 : 4,669.07 = 1,164.64 : x
  2. Step 2: Convert to fraction form
    3,112.96/4,669.07 = 1,164.64/x
  3. Step 3: Cross multiply
    3,112.96x = 4,669.07 × 1,164.64
  4. Step 4: Simplify right side
    3,112.96x = 5,437,785.68
  5. Step 5: Solve for x
    x = 5,437,785.68/3,112.96
  6. Step 6: Final answer
    x = 1,746.82

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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.