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Finding the Fourth Proportional to 4,691.60, 6,473.40 and 2,828.56

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Solution

The fourth proportional to 4,691.60, 6,473.40 and 2,828.56 is: 3,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.60 : 6,473.40 = 2,828.56 : x
  2. Step 2: Convert to fraction form
    4,691.60/6,473.40 = 2,828.56/x
  3. Step 3: Cross multiply
    4,691.60x = 6,473.40 × 2,828.56
  4. Step 4: Simplify right side
    4,691.60x = 18,310,400.30
  5. Step 5: Solve for x
    x = 18,310,400.30/4,691.60
  6. Step 6: Final answer
    x = 3,902.81

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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.