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Finding the Fourth Proportional to 3,852.67, 5,779.86 and 1,512.90

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Solution

The fourth proportional to 3,852.67, 5,779.86 and 1,512.90 is: 2,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.67 : 5,779.86 = 1,512.90 : x
  2. Step 2: Convert to fraction form
    3,852.67/5,779.86 = 1,512.90/x
  3. Step 3: Cross multiply
    3,852.67x = 5,779.86 × 1,512.90
  4. Step 4: Simplify right side
    3,852.67x = 8,744,350.19
  5. Step 5: Solve for x
    x = 8,744,350.19/3,852.67
  6. Step 6: Final answer
    x = 2,269.69

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Why These Related Problems?

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