Home / 2,255.50-3,112.86-1,324

Finding the Fourth Proportional to 2,255.50, 3,112.86 and 1,324

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Solution

The fourth proportional to 2,255.50, 3,112.86 and 1,324 is: 1,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.50 : 3,112.86 = 1,324 : x
  2. Step 2: Convert to fraction form
    2,255.50/3,112.86 = 1,324/x
  3. Step 3: Cross multiply
    2,255.50x = 3,112.86 × 1,324
  4. Step 4: Simplify right side
    2,255.50x = 4,121,426.64
  5. Step 5: Solve for x
    x = 4,121,426.64/2,255.50
  6. Step 6: Final answer
    x = 1,827.28

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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.