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Finding the Fourth Proportional to 3,185.34, 4,779.83 and 1,237.29

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Solution

The fourth proportional to 3,185.34, 4,779.83 and 1,237.29 is: 1,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.34 : 4,779.83 = 1,237.29 : x
  2. Step 2: Convert to fraction form
    3,185.34/4,779.83 = 1,237.29/x
  3. Step 3: Cross multiply
    3,185.34x = 4,779.83 × 1,237.29
  4. Step 4: Simplify right side
    3,185.34x = 5,914,035.86
  5. Step 5: Solve for x
    x = 5,914,035.86/3,185.34
  6. Step 6: Final answer
    x = 1,856.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.