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Finding the Fourth Proportional to 4,542.56, 6,813 and 1,255.22

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Solution

The fourth proportional to 4,542.56, 6,813 and 1,255.22 is: 1,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.56 : 6,813 = 1,255.22 : x
  2. Step 2: Convert to fraction form
    4,542.56/6,813 = 1,255.22/x
  3. Step 3: Cross multiply
    4,542.56x = 6,813 × 1,255.22
  4. Step 4: Simplify right side
    4,542.56x = 8,551,813.86
  5. Step 5: Solve for x
    x = 8,551,813.86/4,542.56
  6. Step 6: Final answer
    x = 1,882.60

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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.