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Finding the Fourth Proportional to 3,729.78, 5,562.14 and 3,310.20

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Solution

The fourth proportional to 3,729.78, 5,562.14 and 3,310.20 is: 4,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.78 : 5,562.14 = 3,310.20 : x
  2. Step 2: Convert to fraction form
    3,729.78/5,562.14 = 3,310.20/x
  3. Step 3: Cross multiply
    3,729.78x = 5,562.14 × 3,310.20
  4. Step 4: Simplify right side
    3,729.78x = 18,411,779.28
  5. Step 5: Solve for x
    x = 18,411,779.28/3,729.78
  6. Step 6: Final answer
    x = 4,936.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.