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Finding the Fourth Proportional to 3,219.96, 4,829.80 and 1,028.80

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Solution

The fourth proportional to 3,219.96, 4,829.80 and 1,028.80 is: 1,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.96 : 4,829.80 = 1,028.80 : x
  2. Step 2: Convert to fraction form
    3,219.96/4,829.80 = 1,028.80/x
  3. Step 3: Cross multiply
    3,219.96x = 4,829.80 × 1,028.80
  4. Step 4: Simplify right side
    3,219.96x = 4,968,898.24
  5. Step 5: Solve for x
    x = 4,968,898.24/3,219.96
  6. Step 6: Final answer
    x = 1,543.16

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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.