Home / 3,106.64-4,287.14-1,780.32

Finding the Fourth Proportional to 3,106.64, 4,287.14 and 1,780.32

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Solution

The fourth proportional to 3,106.64, 4,287.14 and 1,780.32 is: 2,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.64 : 4,287.14 = 1,780.32 : x
  2. Step 2: Convert to fraction form
    3,106.64/4,287.14 = 1,780.32/x
  3. Step 3: Cross multiply
    3,106.64x = 4,287.14 × 1,780.32
  4. Step 4: Simplify right side
    3,106.64x = 7,632,481.08
  5. Step 5: Solve for x
    x = 7,632,481.08/3,106.64
  6. Step 6: Final answer
    x = 2,456.83

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1.5x scale

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.