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Finding the Fourth Proportional to 3,168.76, 4,753.48 and 828.80

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Solution

The fourth proportional to 3,168.76, 4,753.48 and 828.80 is: 1,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.76 : 4,753.48 = 828.80 : x
  2. Step 2: Convert to fraction form
    3,168.76/4,753.48 = 828.80/x
  3. Step 3: Cross multiply
    3,168.76x = 4,753.48 × 828.80
  4. Step 4: Simplify right side
    3,168.76x = 3,939,684.22
  5. Step 5: Solve for x
    x = 3,939,684.22/3,168.76
  6. Step 6: Final answer
    x = 1,243.29

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1.5x scale

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.