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Finding the Fourth Proportional to 3,480.80, 5,246.78 and 3,280.04

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Solution

The fourth proportional to 3,480.80, 5,246.78 and 3,280.04 is: 4,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.80 : 5,246.78 = 3,280.04 : x
  2. Step 2: Convert to fraction form
    3,480.80/5,246.78 = 3,280.04/x
  3. Step 3: Cross multiply
    3,480.80x = 5,246.78 × 3,280.04
  4. Step 4: Simplify right side
    3,480.80x = 17,209,648.27
  5. Step 5: Solve for x
    x = 17,209,648.27/3,480.80
  6. Step 6: Final answer
    x = 4,944.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.