Home / 2,742.94-3,784.32-1,563.16

Finding the Fourth Proportional to 2,742.94, 3,784.32 and 1,563.16

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Solution

The fourth proportional to 2,742.94, 3,784.32 and 1,563.16 is: 2,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.94 : 3,784.32 = 1,563.16 : x
  2. Step 2: Convert to fraction form
    2,742.94/3,784.32 = 1,563.16/x
  3. Step 3: Cross multiply
    2,742.94x = 3,784.32 × 1,563.16
  4. Step 4: Simplify right side
    2,742.94x = 5,915,497.65
  5. Step 5: Solve for x
    x = 5,915,497.65/2,742.94
  6. Step 6: Final answer
    x = 2,156.63

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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.