Home / 3,091.14-4,636.80-782.64

Finding the Fourth Proportional to 3,091.14, 4,636.80 and 782.64

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Solution

The fourth proportional to 3,091.14, 4,636.80 and 782.64 is: 1,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.14 : 4,636.80 = 782.64 : x
  2. Step 2: Convert to fraction form
    3,091.14/4,636.80 = 782.64/x
  3. Step 3: Cross multiply
    3,091.14x = 4,636.80 × 782.64
  4. Step 4: Simplify right side
    3,091.14x = 3,628,945.15
  5. Step 5: Solve for x
    x = 3,628,945.15/3,091.14
  6. Step 6: Final answer
    x = 1,173.98

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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.