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Finding the Fourth Proportional to 7,161.72, 10,745.75 and 2,779.50

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Solution

The fourth proportional to 7,161.72, 10,745.75 and 2,779.50 is: 4,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.72 : 10,745.75 = 2,779.50 : x
  2. Step 2: Convert to fraction form
    7,161.72/10,745.75 = 2,779.50/x
  3. Step 3: Cross multiply
    7,161.72x = 10,745.75 × 2,779.50
  4. Step 4: Simplify right side
    7,161.72x = 29,867,812.13
  5. Step 5: Solve for x
    x = 29,867,812.13/7,161.72
  6. Step 6: Final answer
    x = 4,170.48

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1.5x scale

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.