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Finding the Fourth Proportional to 7,185.85, 10,779.79 and 2,255.88

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Solution

The fourth proportional to 7,185.85, 10,779.79 and 2,255.88 is: 3,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.85 : 10,779.79 = 2,255.88 : x
  2. Step 2: Convert to fraction form
    7,185.85/10,779.79 = 2,255.88/x
  3. Step 3: Cross multiply
    7,185.85x = 10,779.79 × 2,255.88
  4. Step 4: Simplify right side
    7,185.85x = 24,317,912.67
  5. Step 5: Solve for x
    x = 24,317,912.67/7,185.85
  6. Step 6: Final answer
    x = 3,384.14

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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.