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Finding the Fourth Proportional to 4,540, 6,810 and 1,252.76

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Solution

The fourth proportional to 4,540, 6,810 and 1,252.76 is: 1,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540 : 6,810 = 1,252.76 : x
  2. Step 2: Convert to fraction form
    4,540/6,810 = 1,252.76/x
  3. Step 3: Cross multiply
    4,540x = 6,810 × 1,252.76
  4. Step 4: Simplify right side
    4,540x = 8,531,295.60
  5. Step 5: Solve for x
    x = 8,531,295.60/4,540
  6. Step 6: Final answer
    x = 1,879.14

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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.