Home / 2,724.74-4,086.56-777.14

Finding the Fourth Proportional to 2,724.74, 4,086.56 and 777.14

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Solution

The fourth proportional to 2,724.74, 4,086.56 and 777.14 is: 1,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.74 : 4,086.56 = 777.14 : x
  2. Step 2: Convert to fraction form
    2,724.74/4,086.56 = 777.14/x
  3. Step 3: Cross multiply
    2,724.74x = 4,086.56 × 777.14
  4. Step 4: Simplify right side
    2,724.74x = 3,175,829.24
  5. Step 5: Solve for x
    x = 3,175,829.24/2,724.74
  6. Step 6: Final answer
    x = 1,165.55

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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.