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Finding the Fourth Proportional to 3,480.80, 4,804.26 and 2,302.04

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Solution

The fourth proportional to 3,480.80, 4,804.26 and 2,302.04 is: 3,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.80 : 4,804.26 = 2,302.04 : x
  2. Step 2: Convert to fraction form
    3,480.80/4,804.26 = 2,302.04/x
  3. Step 3: Cross multiply
    3,480.80x = 4,804.26 × 2,302.04
  4. Step 4: Simplify right side
    3,480.80x = 11,059,598.69
  5. Step 5: Solve for x
    x = 11,059,598.69/3,480.80
  6. Step 6: Final answer
    x = 3,177.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.