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Finding the Fourth Proportional to 4,494.78, 6,202.20 and 2,505.10

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Solution

The fourth proportional to 4,494.78, 6,202.20 and 2,505.10 is: 3,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.78 : 6,202.20 = 2,505.10 : x
  2. Step 2: Convert to fraction form
    4,494.78/6,202.20 = 2,505.10/x
  3. Step 3: Cross multiply
    4,494.78x = 6,202.20 × 2,505.10
  4. Step 4: Simplify right side
    4,494.78x = 15,537,131.22
  5. Step 5: Solve for x
    x = 15,537,131.22/4,494.78
  6. Step 6: Final answer
    x = 3,456.71

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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.