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Finding the Fourth Proportional to 3,280.96, 4,921.76 and 1,228.96

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Solution

The fourth proportional to 3,280.96, 4,921.76 and 1,228.96 is: 1,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.96 : 4,921.76 = 1,228.96 : x
  2. Step 2: Convert to fraction form
    3,280.96/4,921.76 = 1,228.96/x
  3. Step 3: Cross multiply
    3,280.96x = 4,921.76 × 1,228.96
  4. Step 4: Simplify right side
    3,280.96x = 6,048,646.17
  5. Step 5: Solve for x
    x = 6,048,646.17/3,280.96
  6. Step 6: Final answer
    x = 1,843.56

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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.