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Finding the Fourth Proportional to 4,578.68, 6,851 and 2,730.80

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Solution

The fourth proportional to 4,578.68, 6,851 and 2,730.80 is: 4,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.68 : 6,851 = 2,730.80 : x
  2. Step 2: Convert to fraction form
    4,578.68/6,851 = 2,730.80/x
  3. Step 3: Cross multiply
    4,578.68x = 6,851 × 2,730.80
  4. Step 4: Simplify right side
    4,578.68x = 18,708,710.80
  5. Step 5: Solve for x
    x = 18,708,710.80/4,578.68
  6. Step 6: Final answer
    x = 4,086.05

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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.