Home / 3,086.28-4,629.45-777.78

Finding the Fourth Proportional to 3,086.28, 4,629.45 and 777.78

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Solution

The fourth proportional to 3,086.28, 4,629.45 and 777.78 is: 1,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.28 : 4,629.45 = 777.78 : x
  2. Step 2: Convert to fraction form
    3,086.28/4,629.45 = 777.78/x
  3. Step 3: Cross multiply
    3,086.28x = 4,629.45 × 777.78
  4. Step 4: Simplify right side
    3,086.28x = 3,600,693.62
  5. Step 5: Solve for x
    x = 3,600,693.62/3,086.28
  6. Step 6: Final answer
    x = 1,166.68

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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.