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Finding the Fourth Proportional to 3,219.78, 4,829.70 and 911.28

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Solution

The fourth proportional to 3,219.78, 4,829.70 and 911.28 is: 1,366.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.78 : 4,829.70 = 911.28 : x
  2. Step 2: Convert to fraction form
    3,219.78/4,829.70 = 911.28/x
  3. Step 3: Cross multiply
    3,219.78x = 4,829.70 × 911.28
  4. Step 4: Simplify right side
    3,219.78x = 4,401,209.02
  5. Step 5: Solve for x
    x = 4,401,209.02/3,219.78
  6. Step 6: Final answer
    x = 1,366.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.