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Finding the Fourth Proportional to 3,853.33, 5,779.01 and 1,513.42

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Solution

The fourth proportional to 3,853.33, 5,779.01 and 1,513.42 is: 2,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.33 : 5,779.01 = 1,513.42 : x
  2. Step 2: Convert to fraction form
    3,853.33/5,779.01 = 1,513.42/x
  3. Step 3: Cross multiply
    3,853.33x = 5,779.01 × 1,513.42
  4. Step 4: Simplify right side
    3,853.33x = 8,746,061.75
  5. Step 5: Solve for x
    x = 8,746,061.75/3,853.33
  6. Step 6: Final answer
    x = 2,269.74

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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.