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Finding the Fourth Proportional to 3,219.76, 4,829.72 and 1,028.72

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Solution

The fourth proportional to 3,219.76, 4,829.72 and 1,028.72 is: 1,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.76 : 4,829.72 = 1,028.72 : x
  2. Step 2: Convert to fraction form
    3,219.76/4,829.72 = 1,028.72/x
  3. Step 3: Cross multiply
    3,219.76x = 4,829.72 × 1,028.72
  4. Step 4: Simplify right side
    3,219.76x = 4,968,429.56
  5. Step 5: Solve for x
    x = 4,968,429.56/3,219.76
  6. Step 6: Final answer
    x = 1,543.11

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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.