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Finding the Fourth Proportional to 7,164.60, 10,745.64 and 2,782.14

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Solution

The fourth proportional to 7,164.60, 10,745.64 and 2,782.14 is: 4,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.60 : 10,745.64 = 2,782.14 : x
  2. Step 2: Convert to fraction form
    7,164.60/10,745.64 = 2,782.14/x
  3. Step 3: Cross multiply
    7,164.60x = 10,745.64 × 2,782.14
  4. Step 4: Simplify right side
    7,164.60x = 29,895,874.87
  5. Step 5: Solve for x
    x = 29,895,874.87/7,164.60
  6. Step 6: Final answer
    x = 4,172.72

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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.