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Finding the Fourth Proportional to 5,779.69, 7,974.15 and 3,540.44

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Solution

The fourth proportional to 5,779.69, 7,974.15 and 3,540.44 is: 4,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.69 : 7,974.15 = 3,540.44 : x
  2. Step 2: Convert to fraction form
    5,779.69/7,974.15 = 3,540.44/x
  3. Step 3: Cross multiply
    5,779.69x = 7,974.15 × 3,540.44
  4. Step 4: Simplify right side
    5,779.69x = 28,232,006.28
  5. Step 5: Solve for x
    x = 28,232,006.28/5,779.69
  6. Step 6: Final answer
    x = 4,884.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.